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Finding the Fourth Proportional to 417.78, 576.54 and 231.27

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Solution

The fourth proportional to 417.78, 576.54 and 231.27 is: 319.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.78 : 576.54 = 231.27 : x
  2. Step 2: Convert to fraction form
    417.78/576.54 = 231.27/x
  3. Step 3: Cross multiply
    417.78x = 576.54 × 231.27
  4. Step 4: Simplify right side
    417.78x = 133,333.52
  5. Step 5: Solve for x
    x = 133,333.52/417.78
  6. Step 6: Final answer
    x = 319.15

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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.