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Finding the Fourth Proportional to 417.25, 625.98 and 160.75

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Solution

The fourth proportional to 417.25, 625.98 and 160.75 is: 241.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.25 : 625.98 = 160.75 : x
  2. Step 2: Convert to fraction form
    417.25/625.98 = 160.75/x
  3. Step 3: Cross multiply
    417.25x = 625.98 × 160.75
  4. Step 4: Simplify right side
    417.25x = 100,626.29
  5. Step 5: Solve for x
    x = 100,626.29/417.25
  6. Step 6: Final answer
    x = 241.17

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