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Finding the Fourth Proportional to 478.08, 664.38 and 471.96

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Solution

The fourth proportional to 478.08, 664.38 and 471.96 is: 655.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.08 : 664.38 = 471.96 : x
  2. Step 2: Convert to fraction form
    478.08/664.38 = 471.96/x
  3. Step 3: Cross multiply
    478.08x = 664.38 × 471.96
  4. Step 4: Simplify right side
    478.08x = 313,560.78
  5. Step 5: Solve for x
    x = 313,560.78/478.08
  6. Step 6: Final answer
    x = 655.88

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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.