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Finding the Fourth Proportional to 359.12, 538.80 and 249.55

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Solution

The fourth proportional to 359.12, 538.80 and 249.55 is: 374.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.12 : 538.80 = 249.55 : x
  2. Step 2: Convert to fraction form
    359.12/538.80 = 249.55/x
  3. Step 3: Cross multiply
    359.12x = 538.80 × 249.55
  4. Step 4: Simplify right side
    359.12x = 134,456.19
  5. Step 5: Solve for x
    x = 134,456.19/359.12
  6. Step 6: Final answer
    x = 374.40

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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.