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Finding the Fourth Proportional to 516.06, 710.13 and 502.44

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Solution

The fourth proportional to 516.06, 710.13 and 502.44 is: 691.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.06 : 710.13 = 502.44 : x
  2. Step 2: Convert to fraction form
    516.06/710.13 = 502.44/x
  3. Step 3: Cross multiply
    516.06x = 710.13 × 502.44
  4. Step 4: Simplify right side
    516.06x = 356,797.72
  5. Step 5: Solve for x
    x = 356,797.72/516.06
  6. Step 6: Final answer
    x = 691.39

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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.