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Finding the Fourth Proportional to 400.40, 599.52 and 237.68

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Solution

The fourth proportional to 400.40, 599.52 and 237.68 is: 355.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.40 : 599.52 = 237.68 : x
  2. Step 2: Convert to fraction form
    400.40/599.52 = 237.68/x
  3. Step 3: Cross multiply
    400.40x = 599.52 × 237.68
  4. Step 4: Simplify right side
    400.40x = 142,493.91
  5. Step 5: Solve for x
    x = 142,493.91/400.40
  6. Step 6: Final answer
    x = 355.88

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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.