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Finding the Fourth Proportional to 458.92, 632.10 and 424.30

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Solution

The fourth proportional to 458.92, 632.10 and 424.30 is: 584.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.92 : 632.10 = 424.30 : x
  2. Step 2: Convert to fraction form
    458.92/632.10 = 424.30/x
  3. Step 3: Cross multiply
    458.92x = 632.10 × 424.30
  4. Step 4: Simplify right side
    458.92x = 268,200.03
  5. Step 5: Solve for x
    x = 268,200.03/458.92
  6. Step 6: Final answer
    x = 584.42

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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.