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Finding the Fourth Proportional to 951.36, 1,427.67 and 431.97

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Solution

The fourth proportional to 951.36, 1,427.67 and 431.97 is: 648.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.36 : 1,427.67 = 431.97 : x
  2. Step 2: Convert to fraction form
    951.36/1,427.67 = 431.97/x
  3. Step 3: Cross multiply
    951.36x = 1,427.67 × 431.97
  4. Step 4: Simplify right side
    951.36x = 616,710.61
  5. Step 5: Solve for x
    x = 616,710.61/951.36
  6. Step 6: Final answer
    x = 648.24

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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.