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Finding the Fourth Proportional to 475.62, 713.24 and 198

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Solution

The fourth proportional to 475.62, 713.24 and 198 is: 296.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.62 : 713.24 = 198 : x
  2. Step 2: Convert to fraction form
    475.62/713.24 = 198/x
  3. Step 3: Cross multiply
    475.62x = 713.24 × 198
  4. Step 4: Simplify right side
    475.62x = 141,221.52
  5. Step 5: Solve for x
    x = 141,221.52/475.62
  6. Step 6: Final answer
    x = 296.92

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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.