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Finding the Fourth Proportional to 689.92, 951.24 and 480.27

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Solution

The fourth proportional to 689.92, 951.24 and 480.27 is: 662.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.92 : 951.24 = 480.27 : x
  2. Step 2: Convert to fraction form
    689.92/951.24 = 480.27/x
  3. Step 3: Cross multiply
    689.92x = 951.24 × 480.27
  4. Step 4: Simplify right side
    689.92x = 456,852.03
  5. Step 5: Solve for x
    x = 456,852.03/689.92
  6. Step 6: Final answer
    x = 662.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.