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Finding the Fourth Proportional to 417.26, 625.81 and 173.72

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Solution

The fourth proportional to 417.26, 625.81 and 173.72 is: 260.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.26 : 625.81 = 173.72 : x
  2. Step 2: Convert to fraction form
    417.26/625.81 = 173.72/x
  3. Step 3: Cross multiply
    417.26x = 625.81 × 173.72
  4. Step 4: Simplify right side
    417.26x = 108,711.72
  5. Step 5: Solve for x
    x = 108,711.72/417.26
  6. Step 6: Final answer
    x = 260.54

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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.