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Finding the Fourth Proportional to 689.73, 951.96 and 424.26

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Solution

The fourth proportional to 689.73, 951.96 and 424.26 is: 585.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.73 : 951.96 = 424.26 : x
  2. Step 2: Convert to fraction form
    689.73/951.96 = 424.26/x
  3. Step 3: Cross multiply
    689.73x = 951.96 × 424.26
  4. Step 4: Simplify right side
    689.73x = 403,878.55
  5. Step 5: Solve for x
    x = 403,878.55/689.73
  6. Step 6: Final answer
    x = 585.56

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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.