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Finding the Fourth Proportional to 417.44, 626.16 and 252.95

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Solution

The fourth proportional to 417.44, 626.16 and 252.95 is: 379.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.44 : 626.16 = 252.95 : x
  2. Step 2: Convert to fraction form
    417.44/626.16 = 252.95/x
  3. Step 3: Cross multiply
    417.44x = 626.16 × 252.95
  4. Step 4: Simplify right side
    417.44x = 158,387.17
  5. Step 5: Solve for x
    x = 158,387.17/417.44
  6. Step 6: Final answer
    x = 379.43

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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.