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Finding the Fourth Proportional to 742.28, 1,110.24 and 433.36

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Solution

The fourth proportional to 742.28, 1,110.24 and 433.36 is: 648.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.28 : 1,110.24 = 433.36 : x
  2. Step 2: Convert to fraction form
    742.28/1,110.24 = 433.36/x
  3. Step 3: Cross multiply
    742.28x = 1,110.24 × 433.36
  4. Step 4: Simplify right side
    742.28x = 481,133.61
  5. Step 5: Solve for x
    x = 481,133.61/742.28
  6. Step 6: Final answer
    x = 648.18

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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.