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Finding the Fourth Proportional to 359.42, 495.68 and 234.96

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Solution

The fourth proportional to 359.42, 495.68 and 234.96 is: 324.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.42 : 495.68 = 234.96 : x
  2. Step 2: Convert to fraction form
    359.42/495.68 = 234.96/x
  3. Step 3: Cross multiply
    359.42x = 495.68 × 234.96
  4. Step 4: Simplify right side
    359.42x = 116,464.97
  5. Step 5: Solve for x
    x = 116,464.97/359.42
  6. Step 6: Final answer
    x = 324.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.