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Finding the Fourth Proportional to 417.76, 626.96 and 174.48

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Solution

The fourth proportional to 417.76, 626.96 and 174.48 is: 261.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.76 : 626.96 = 174.48 : x
  2. Step 2: Convert to fraction form
    417.76/626.96 = 174.48/x
  3. Step 3: Cross multiply
    417.76x = 626.96 × 174.48
  4. Step 4: Simplify right side
    417.76x = 109,391.98
  5. Step 5: Solve for x
    x = 109,391.98/417.76
  6. Step 6: Final answer
    x = 261.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.