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Finding the Fourth Proportional to 424.27, 634.71 and 367.11

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Solution

The fourth proportional to 424.27, 634.71 and 367.11 is: 549.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.27 : 634.71 = 367.11 : x
  2. Step 2: Convert to fraction form
    424.27/634.71 = 367.11/x
  3. Step 3: Cross multiply
    424.27x = 634.71 × 367.11
  4. Step 4: Simplify right side
    424.27x = 233,007.70
  5. Step 5: Solve for x
    x = 233,007.70/424.27
  6. Step 6: Final answer
    x = 549.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.