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Finding the Fourth Proportional to 354.42, 531.89 and 232.64

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Solution

The fourth proportional to 354.42, 531.89 and 232.64 is: 349.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.42 : 531.89 = 232.64 : x
  2. Step 2: Convert to fraction form
    354.42/531.89 = 232.64/x
  3. Step 3: Cross multiply
    354.42x = 531.89 × 232.64
  4. Step 4: Simplify right side
    354.42x = 123,738.89
  5. Step 5: Solve for x
    x = 123,738.89/354.42
  6. Step 6: Final answer
    x = 349.13

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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.