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Finding the Fourth Proportional to 516.54, 712.74 and 295.47

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Solution

The fourth proportional to 516.54, 712.74 and 295.47 is: 407.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.54 : 712.74 = 295.47 : x
  2. Step 2: Convert to fraction form
    516.54/712.74 = 295.47/x
  3. Step 3: Cross multiply
    516.54x = 712.74 × 295.47
  4. Step 4: Simplify right side
    516.54x = 210,593.29
  5. Step 5: Solve for x
    x = 210,593.29/516.54
  6. Step 6: Final answer
    x = 407.70

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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.