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Finding the Fourth Proportional to 689.80, 951.57 and 424.15

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Solution

The fourth proportional to 689.80, 951.57 and 424.15 is: 585.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.80 : 951.57 = 424.15 : x
  2. Step 2: Convert to fraction form
    689.80/951.57 = 424.15/x
  3. Step 3: Cross multiply
    689.80x = 951.57 × 424.15
  4. Step 4: Simplify right side
    689.80x = 403,608.42
  5. Step 5: Solve for x
    x = 403,608.42/689.80
  6. Step 6: Final answer
    x = 585.11

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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.