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Finding the Fourth Proportional to 689.73, 951.42 and 440.96

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Solution

The fourth proportional to 689.73, 951.42 and 440.96 is: 608.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.73 : 951.42 = 440.96 : x
  2. Step 2: Convert to fraction form
    689.73/951.42 = 440.96/x
  3. Step 3: Cross multiply
    689.73x = 951.42 × 440.96
  4. Step 4: Simplify right side
    689.73x = 419,535.16
  5. Step 5: Solve for x
    x = 419,535.16/689.73
  6. Step 6: Final answer
    x = 608.26

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1.5x scale

Why These Related Problems?

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