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Finding the Fourth Proportional to 478.48, 663.82 and 461.20

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Solution

The fourth proportional to 478.48, 663.82 and 461.20 is: 639.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.48 : 663.82 = 461.20 : x
  2. Step 2: Convert to fraction form
    478.48/663.82 = 461.20/x
  3. Step 3: Cross multiply
    478.48x = 663.82 × 461.20
  4. Step 4: Simplify right side
    478.48x = 306,153.78
  5. Step 5: Solve for x
    x = 306,153.78/478.48
  6. Step 6: Final answer
    x = 639.85

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.