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Finding the Fourth Proportional to 622.38, 932.58 and 297.48

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Solution

The fourth proportional to 622.38, 932.58 and 297.48 is: 445.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.38 : 932.58 = 297.48 : x
  2. Step 2: Convert to fraction form
    622.38/932.58 = 297.48/x
  3. Step 3: Cross multiply
    622.38x = 932.58 × 297.48
  4. Step 4: Simplify right side
    622.38x = 277,423.90
  5. Step 5: Solve for x
    x = 277,423.90/622.38
  6. Step 6: Final answer
    x = 445.75

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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.