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Finding the Fourth Proportional to 359.62, 538.86 and 229.20

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Solution

The fourth proportional to 359.62, 538.86 and 229.20 is: 343.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.62 : 538.86 = 229.20 : x
  2. Step 2: Convert to fraction form
    359.62/538.86 = 229.20/x
  3. Step 3: Cross multiply
    359.62x = 538.86 × 229.20
  4. Step 4: Simplify right side
    359.62x = 123,506.71
  5. Step 5: Solve for x
    x = 123,506.71/359.62
  6. Step 6: Final answer
    x = 343.44

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Why These Related Problems?

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