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Finding the Fourth Proportional to 475.97, 713.85 and 151.43

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Solution

The fourth proportional to 475.97, 713.85 and 151.43 is: 227.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.97 : 713.85 = 151.43 : x
  2. Step 2: Convert to fraction form
    475.97/713.85 = 151.43/x
  3. Step 3: Cross multiply
    475.97x = 713.85 × 151.43
  4. Step 4: Simplify right side
    475.97x = 108,094.17
  5. Step 5: Solve for x
    x = 108,094.17/475.97
  6. Step 6: Final answer
    x = 227.11

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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.