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Finding the Fourth Proportional to 475.74, 713.22 and 232.14

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Solution

The fourth proportional to 475.74, 713.22 and 232.14 is: 348.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.74 : 713.22 = 232.14 : x
  2. Step 2: Convert to fraction form
    475.74/713.22 = 232.14/x
  3. Step 3: Cross multiply
    475.74x = 713.22 × 232.14
  4. Step 4: Simplify right side
    475.74x = 165,566.89
  5. Step 5: Solve for x
    x = 165,566.89/475.74
  6. Step 6: Final answer
    x = 348.02

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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.