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Finding the Fourth Proportional to 354.37, 531.55 and 232.87

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Solution

The fourth proportional to 354.37, 531.55 and 232.87 is: 349.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.37 : 531.55 = 232.87 : x
  2. Step 2: Convert to fraction form
    354.37/531.55 = 232.87/x
  3. Step 3: Cross multiply
    354.37x = 531.55 × 232.87
  4. Step 4: Simplify right side
    354.37x = 123,779.39
  5. Step 5: Solve for x
    x = 123,779.39/354.37
  6. Step 6: Final answer
    x = 349.30

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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.