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Finding the Fourth Proportional to 516.76, 713.14 and 306.96

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Solution

The fourth proportional to 516.76, 713.14 and 306.96 is: 423.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.76 : 713.14 = 306.96 : x
  2. Step 2: Convert to fraction form
    516.76/713.14 = 306.96/x
  3. Step 3: Cross multiply
    516.76x = 713.14 × 306.96
  4. Step 4: Simplify right side
    516.76x = 218,905.45
  5. Step 5: Solve for x
    x = 218,905.45/516.76
  6. Step 6: Final answer
    x = 423.61

Related Problems

Find fourth proportional to 258.38, 356.57 and 153.48
Half scale
Find fourth proportional to 1,033.52, 1,426.28 and 613.92
Double scale
Find fourth proportional to 517.76, 714.52 and 307.96
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.