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Finding the Fourth Proportional to 622.15, 932.61 and 231.86

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Solution

The fourth proportional to 622.15, 932.61 and 231.86 is: 347.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.15 : 932.61 = 231.86 : x
  2. Step 2: Convert to fraction form
    622.15/932.61 = 231.86/x
  3. Step 3: Cross multiply
    622.15x = 932.61 × 231.86
  4. Step 4: Simplify right side
    622.15x = 216,234.95
  5. Step 5: Solve for x
    x = 216,234.95/622.15
  6. Step 6: Final answer
    x = 347.56

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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.