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Finding the Fourth Proportional to 417.63, 576.31 and 231.12

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Solution

The fourth proportional to 417.63, 576.31 and 231.12 is: 318.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.63 : 576.31 = 231.12 : x
  2. Step 2: Convert to fraction form
    417.63/576.31 = 231.12/x
  3. Step 3: Cross multiply
    417.63x = 576.31 × 231.12
  4. Step 4: Simplify right side
    417.63x = 133,195.90
  5. Step 5: Solve for x
    x = 133,195.90/417.63
  6. Step 6: Final answer
    x = 318.93

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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.