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Finding the Fourth Proportional to 502.67, 693.69 and 327.71

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Solution

The fourth proportional to 502.67, 693.69 and 327.71 is: 452.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.67 : 693.69 = 327.71 : x
  2. Step 2: Convert to fraction form
    502.67/693.69 = 327.71/x
  3. Step 3: Cross multiply
    502.67x = 693.69 × 327.71
  4. Step 4: Simplify right side
    502.67x = 227,329.15
  5. Step 5: Solve for x
    x = 227,329.15/502.67
  6. Step 6: Final answer
    x = 452.24

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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.