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Finding the Fourth Proportional to 372.66, 559.14 and 232.08

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Solution

The fourth proportional to 372.66, 559.14 and 232.08 is: 348.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.66 : 559.14 = 232.08 : x
  2. Step 2: Convert to fraction form
    372.66/559.14 = 232.08/x
  3. Step 3: Cross multiply
    372.66x = 559.14 × 232.08
  4. Step 4: Simplify right side
    372.66x = 129,765.21
  5. Step 5: Solve for x
    x = 129,765.21/372.66
  6. Step 6: Final answer
    x = 348.21

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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.