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Finding the Fourth Proportional to 417.92, 576.71 and 231.42

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Solution

The fourth proportional to 417.92, 576.71 and 231.42 is: 319.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.92 : 576.71 = 231.42 : x
  2. Step 2: Convert to fraction form
    417.92/576.71 = 231.42/x
  3. Step 3: Cross multiply
    417.92x = 576.71 × 231.42
  4. Step 4: Simplify right side
    417.92x = 133,462.23
  5. Step 5: Solve for x
    x = 133,462.23/417.92
  6. Step 6: Final answer
    x = 319.35

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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.