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Finding the Fourth Proportional to 622.52, 932.96 and 348.48

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Solution

The fourth proportional to 622.52, 932.96 and 348.48 is: 522.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.52 : 932.96 = 348.48 : x
  2. Step 2: Convert to fraction form
    622.52/932.96 = 348.48/x
  3. Step 3: Cross multiply
    622.52x = 932.96 × 348.48
  4. Step 4: Simplify right side
    622.52x = 325,117.90
  5. Step 5: Solve for x
    x = 325,117.90/622.52
  6. Step 6: Final answer
    x = 522.26

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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.