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Finding the Fourth Proportional to 689.57, 951.77 and 424.07

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Solution

The fourth proportional to 689.57, 951.77 and 424.07 is: 585.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.57 : 951.77 = 424.07 : x
  2. Step 2: Convert to fraction form
    689.57/951.77 = 424.07/x
  3. Step 3: Cross multiply
    689.57x = 951.77 × 424.07
  4. Step 4: Simplify right side
    689.57x = 403,610.22
  5. Step 5: Solve for x
    x = 403,610.22/689.57
  6. Step 6: Final answer
    x = 585.31

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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.