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Finding the Fourth Proportional to 633.92, 951.36 and 463.36

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Solution

The fourth proportional to 633.92, 951.36 and 463.36 is: 695.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.92 : 951.36 = 463.36 : x
  2. Step 2: Convert to fraction form
    633.92/951.36 = 463.36/x
  3. Step 3: Cross multiply
    633.92x = 951.36 × 463.36
  4. Step 4: Simplify right side
    633.92x = 440,822.17
  5. Step 5: Solve for x
    x = 440,822.17/633.92
  6. Step 6: Final answer
    x = 695.39

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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.