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Finding the Fourth Proportional to 417.87, 576.63 and 231.31

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Solution

The fourth proportional to 417.87, 576.63 and 231.31 is: 319.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.87 : 576.63 = 231.31 : x
  2. Step 2: Convert to fraction form
    417.87/576.63 = 231.31/x
  3. Step 3: Cross multiply
    417.87x = 576.63 × 231.31
  4. Step 4: Simplify right side
    417.87x = 133,380.27
  5. Step 5: Solve for x
    x = 133,380.27/417.87
  6. Step 6: Final answer
    x = 319.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.