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Finding the Fourth Proportional to 359.46, 538.34 and 229.05

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Solution

The fourth proportional to 359.46, 538.34 and 229.05 is: 343.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.46 : 538.34 = 229.05 : x
  2. Step 2: Convert to fraction form
    359.46/538.34 = 229.05/x
  3. Step 3: Cross multiply
    359.46x = 538.34 × 229.05
  4. Step 4: Simplify right side
    359.46x = 123,305.63
  5. Step 5: Solve for x
    x = 123,305.63/359.46
  6. Step 6: Final answer
    x = 343.03

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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.