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Finding the Fourth Proportional to 475.76, 713.90 and 232.29

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Solution

The fourth proportional to 475.76, 713.90 and 232.29 is: 348.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.76 : 713.90 = 232.29 : x
  2. Step 2: Convert to fraction form
    475.76/713.90 = 232.29/x
  3. Step 3: Cross multiply
    475.76x = 713.90 × 232.29
  4. Step 4: Simplify right side
    475.76x = 165,828.26
  5. Step 5: Solve for x
    x = 165,828.26/475.76
  6. Step 6: Final answer
    x = 348.56

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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.