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Finding the Fourth Proportional to 622.26, 932.94 and 232.20

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Solution

The fourth proportional to 622.26, 932.94 and 232.20 is: 348.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.26 : 932.94 = 232.20 : x
  2. Step 2: Convert to fraction form
    622.26/932.94 = 232.20/x
  3. Step 3: Cross multiply
    622.26x = 932.94 × 232.20
  4. Step 4: Simplify right side
    622.26x = 216,628.67
  5. Step 5: Solve for x
    x = 216,628.67/622.26
  6. Step 6: Final answer
    x = 348.13

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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.