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Finding the Fourth Proportional to 622.26, 932.88 and 313.92

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Solution

The fourth proportional to 622.26, 932.88 and 313.92 is: 470.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.26 : 932.88 = 313.92 : x
  2. Step 2: Convert to fraction form
    622.26/932.88 = 313.92/x
  3. Step 3: Cross multiply
    622.26x = 932.88 × 313.92
  4. Step 4: Simplify right side
    622.26x = 292,849.69
  5. Step 5: Solve for x
    x = 292,849.69/622.26
  6. Step 6: Final answer
    x = 470.62

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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.