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Finding the Fourth Proportional to 502.69, 693.24 and 325.48

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Solution

The fourth proportional to 502.69, 693.24 and 325.48 is: 448.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.69 : 693.24 = 325.48 : x
  2. Step 2: Convert to fraction form
    502.69/693.24 = 325.48/x
  3. Step 3: Cross multiply
    502.69x = 693.24 × 325.48
  4. Step 4: Simplify right side
    502.69x = 225,635.76
  5. Step 5: Solve for x
    x = 225,635.76/502.69
  6. Step 6: Final answer
    x = 448.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.