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Finding the Fourth Proportional to 417.27, 575.49 and 251.44

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Solution

The fourth proportional to 417.27, 575.49 and 251.44 is: 346.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.27 : 575.49 = 251.44 : x
  2. Step 2: Convert to fraction form
    417.27/575.49 = 251.44/x
  3. Step 3: Cross multiply
    417.27x = 575.49 × 251.44
  4. Step 4: Simplify right side
    417.27x = 144,701.21
  5. Step 5: Solve for x
    x = 144,701.21/417.27
  6. Step 6: Final answer
    x = 346.78

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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.