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Finding the Fourth Proportional to 676.92, 934.17 and 424.80

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Solution

The fourth proportional to 676.92, 934.17 and 424.80 is: 586.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.92 : 934.17 = 424.80 : x
  2. Step 2: Convert to fraction form
    676.92/934.17 = 424.80/x
  3. Step 3: Cross multiply
    676.92x = 934.17 × 424.80
  4. Step 4: Simplify right side
    676.92x = 396,835.42
  5. Step 5: Solve for x
    x = 396,835.42/676.92
  6. Step 6: Final answer
    x = 586.24

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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.