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Finding the Fourth Proportional to 417.72, 576.23 and 251.85

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Solution

The fourth proportional to 417.72, 576.23 and 251.85 is: 347.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.72 : 576.23 = 251.85 : x
  2. Step 2: Convert to fraction form
    417.72/576.23 = 251.85/x
  3. Step 3: Cross multiply
    417.72x = 576.23 × 251.85
  4. Step 4: Simplify right side
    417.72x = 145,122.27
  5. Step 5: Solve for x
    x = 145,122.27/417.72
  6. Step 6: Final answer
    x = 347.42

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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.