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Finding the Fourth Proportional to 516.32, 770.80 and 494.72

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Solution

The fourth proportional to 516.32, 770.80 and 494.72 is: 738.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.32 : 770.80 = 494.72 : x
  2. Step 2: Convert to fraction form
    516.32/770.80 = 494.72/x
  3. Step 3: Cross multiply
    516.32x = 770.80 × 494.72
  4. Step 4: Simplify right side
    516.32x = 381,330.18
  5. Step 5: Solve for x
    x = 381,330.18/516.32
  6. Step 6: Final answer
    x = 738.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.