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Finding the Fourth Proportional to 417.62, 576.22 and 251.76

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Solution

The fourth proportional to 417.62, 576.22 and 251.76 is: 347.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.62 : 576.22 = 251.76 : x
  2. Step 2: Convert to fraction form
    417.62/576.22 = 251.76/x
  3. Step 3: Cross multiply
    417.62x = 576.22 × 251.76
  4. Step 4: Simplify right side
    417.62x = 145,069.15
  5. Step 5: Solve for x
    x = 145,069.15/417.62
  6. Step 6: Final answer
    x = 347.37

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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.