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Finding the Fourth Proportional to 501.14, 691.50 and 324.20

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Solution

The fourth proportional to 501.14, 691.50 and 324.20 is: 447.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.14 : 691.50 = 324.20 : x
  2. Step 2: Convert to fraction form
    501.14/691.50 = 324.20/x
  3. Step 3: Cross multiply
    501.14x = 691.50 × 324.20
  4. Step 4: Simplify right side
    501.14x = 224,184.30
  5. Step 5: Solve for x
    x = 224,184.30/501.14
  6. Step 6: Final answer
    x = 447.35

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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.