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Finding the Fourth Proportional to 672.92, 928.98 and 424.60

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Solution

The fourth proportional to 672.92, 928.98 and 424.60 is: 586.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.92 : 928.98 = 424.60 : x
  2. Step 2: Convert to fraction form
    672.92/928.98 = 424.60/x
  3. Step 3: Cross multiply
    672.92x = 928.98 × 424.60
  4. Step 4: Simplify right side
    672.92x = 394,444.91
  5. Step 5: Solve for x
    x = 394,444.91/672.92
  6. Step 6: Final answer
    x = 586.17

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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.