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Finding the Fourth Proportional to 417.57, 576.24 and 231.06

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Solution

The fourth proportional to 417.57, 576.24 and 231.06 is: 318.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.57 : 576.24 = 231.06 : x
  2. Step 2: Convert to fraction form
    417.57/576.24 = 231.06/x
  3. Step 3: Cross multiply
    417.57x = 576.24 × 231.06
  4. Step 4: Simplify right side
    417.57x = 133,146.01
  5. Step 5: Solve for x
    x = 133,146.01/417.57
  6. Step 6: Final answer
    x = 318.86

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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.