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Finding the Fourth Proportional to 483.92, 724.84 and 467.44

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Solution

The fourth proportional to 483.92, 724.84 and 467.44 is: 700.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.92 : 724.84 = 467.44 : x
  2. Step 2: Convert to fraction form
    483.92/724.84 = 467.44/x
  3. Step 3: Cross multiply
    483.92x = 724.84 × 467.44
  4. Step 4: Simplify right side
    483.92x = 338,819.21
  5. Step 5: Solve for x
    x = 338,819.21/483.92
  6. Step 6: Final answer
    x = 700.16

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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.