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Finding the Fourth Proportional to 622.20, 932.46 and 297.12

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Solution

The fourth proportional to 622.20, 932.46 and 297.12 is: 445.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.20 : 932.46 = 297.12 : x
  2. Step 2: Convert to fraction form
    622.20/932.46 = 297.12/x
  3. Step 3: Cross multiply
    622.20x = 932.46 × 297.12
  4. Step 4: Simplify right side
    622.20x = 277,052.52
  5. Step 5: Solve for x
    x = 277,052.52/622.20
  6. Step 6: Final answer
    x = 445.28

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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.