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Finding the Fourth Proportional to 359.20, 537.38 and 289.23

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Solution

The fourth proportional to 359.20, 537.38 and 289.23 is: 432.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.20 : 537.38 = 289.23 : x
  2. Step 2: Convert to fraction form
    359.20/537.38 = 289.23/x
  3. Step 3: Cross multiply
    359.20x = 537.38 × 289.23
  4. Step 4: Simplify right side
    359.20x = 155,426.42
  5. Step 5: Solve for x
    x = 155,426.42/359.20
  6. Step 6: Final answer
    x = 432.70

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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.