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Finding the Fourth Proportional to 484.92, 721.62 and 467.64

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Solution

The fourth proportional to 484.92, 721.62 and 467.64 is: 695.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.92 : 721.62 = 467.64 : x
  2. Step 2: Convert to fraction form
    484.92/721.62 = 467.64/x
  3. Step 3: Cross multiply
    484.92x = 721.62 × 467.64
  4. Step 4: Simplify right side
    484.92x = 337,458.38
  5. Step 5: Solve for x
    x = 337,458.38/484.92
  6. Step 6: Final answer
    x = 695.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.