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Finding the Fourth Proportional to 359.71, 540.17 and 331.22

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Solution

The fourth proportional to 359.71, 540.17 and 331.22 is: 497.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.71 : 540.17 = 331.22 : x
  2. Step 2: Convert to fraction form
    359.71/540.17 = 331.22/x
  3. Step 3: Cross multiply
    359.71x = 540.17 × 331.22
  4. Step 4: Simplify right side
    359.71x = 178,916.04
  5. Step 5: Solve for x
    x = 178,916.04/359.71
  6. Step 6: Final answer
    x = 497.39

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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.