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Finding the Fourth Proportional to 359.72, 540.06 and 213.74

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Solution

The fourth proportional to 359.72, 540.06 and 213.74 is: 320.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.72 : 540.06 = 213.74 : x
  2. Step 2: Convert to fraction form
    359.72/540.06 = 213.74/x
  3. Step 3: Cross multiply
    359.72x = 540.06 × 213.74
  4. Step 4: Simplify right side
    359.72x = 115,432.42
  5. Step 5: Solve for x
    x = 115,432.42/359.72
  6. Step 6: Final answer
    x = 320.90

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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.