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Finding the Fourth Proportional to 484.96, 667.92 and 460.24

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Solution

The fourth proportional to 484.96, 667.92 and 460.24 is: 633.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.96 : 667.92 = 460.24 : x
  2. Step 2: Convert to fraction form
    484.96/667.92 = 460.24/x
  3. Step 3: Cross multiply
    484.96x = 667.92 × 460.24
  4. Step 4: Simplify right side
    484.96x = 307,403.50
  5. Step 5: Solve for x
    x = 307,403.50/484.96
  6. Step 6: Final answer
    x = 633.87

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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.