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Finding the Fourth Proportional to 417.59, 576.27 and 231.08

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Solution

The fourth proportional to 417.59, 576.27 and 231.08 is: 318.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.59 : 576.27 = 231.08 : x
  2. Step 2: Convert to fraction form
    417.59/576.27 = 231.08/x
  3. Step 3: Cross multiply
    417.59x = 576.27 × 231.08
  4. Step 4: Simplify right side
    417.59x = 133,162.89
  5. Step 5: Solve for x
    x = 133,162.89/417.59
  6. Step 6: Final answer
    x = 318.88

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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.