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Finding the Fourth Proportional to 622.54, 932.17 and 390.46

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Solution

The fourth proportional to 622.54, 932.17 and 390.46 is: 584.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.54 : 932.17 = 390.46 : x
  2. Step 2: Convert to fraction form
    622.54/932.17 = 390.46/x
  3. Step 3: Cross multiply
    622.54x = 932.17 × 390.46
  4. Step 4: Simplify right side
    622.54x = 363,975.10
  5. Step 5: Solve for x
    x = 363,975.10/622.54
  6. Step 6: Final answer
    x = 584.66

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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.