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Finding the Fourth Proportional to 622.01, 932.25 and 274.97

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Solution

The fourth proportional to 622.01, 932.25 and 274.97 is: 412.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.01 : 932.25 = 274.97 : x
  2. Step 2: Convert to fraction form
    622.01/932.25 = 274.97/x
  3. Step 3: Cross multiply
    622.01x = 932.25 × 274.97
  4. Step 4: Simplify right side
    622.01x = 256,340.78
  5. Step 5: Solve for x
    x = 256,340.78/622.01
  6. Step 6: Final answer
    x = 412.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.