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Finding the Fourth Proportional to 417.76, 576.52 and 231.26

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Solution

The fourth proportional to 417.76, 576.52 and 231.26 is: 319.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.76 : 576.52 = 231.26 : x
  2. Step 2: Convert to fraction form
    417.76/576.52 = 231.26/x
  3. Step 3: Cross multiply
    417.76x = 576.52 × 231.26
  4. Step 4: Simplify right side
    417.76x = 133,325.80
  5. Step 5: Solve for x
    x = 133,325.80/417.76
  6. Step 6: Final answer
    x = 319.14

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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.