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Finding the Fourth Proportional to 502.69, 693.09 and 371.47

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Solution

The fourth proportional to 502.69, 693.09 and 371.47 is: 512.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.69 : 693.09 = 371.47 : x
  2. Step 2: Convert to fraction form
    502.69/693.09 = 371.47/x
  3. Step 3: Cross multiply
    502.69x = 693.09 × 371.47
  4. Step 4: Simplify right side
    502.69x = 257,462.14
  5. Step 5: Solve for x
    x = 257,462.14/502.69
  6. Step 6: Final answer
    x = 512.17

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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.