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Finding the Fourth Proportional to 502.71, 693.39 and 409.46

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Solution

The fourth proportional to 502.71, 693.39 and 409.46 is: 564.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.71 : 693.39 = 409.46 : x
  2. Step 2: Convert to fraction form
    502.71/693.39 = 409.46/x
  3. Step 3: Cross multiply
    502.71x = 693.39 × 409.46
  4. Step 4: Simplify right side
    502.71x = 283,913.54
  5. Step 5: Solve for x
    x = 283,913.54/502.71
  6. Step 6: Final answer
    x = 564.77

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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.