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Finding the Fourth Proportional to 483.96, 724.68 and 442.32

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Solution

The fourth proportional to 483.96, 724.68 and 442.32 is: 662.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.96 : 724.68 = 442.32 : x
  2. Step 2: Convert to fraction form
    483.96/724.68 = 442.32/x
  3. Step 3: Cross multiply
    483.96x = 724.68 × 442.32
  4. Step 4: Simplify right side
    483.96x = 320,540.46
  5. Step 5: Solve for x
    x = 320,540.46/483.96
  6. Step 6: Final answer
    x = 662.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.