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Finding the Fourth Proportional to 359.38, 534.32 and 344.80

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Solution

The fourth proportional to 359.38, 534.32 and 344.80 is: 512.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.38 : 534.32 = 344.80 : x
  2. Step 2: Convert to fraction form
    359.38/534.32 = 344.80/x
  3. Step 3: Cross multiply
    359.38x = 534.32 × 344.80
  4. Step 4: Simplify right side
    359.38x = 184,233.54
  5. Step 5: Solve for x
    x = 184,233.54/359.38
  6. Step 6: Final answer
    x = 512.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.