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Finding the Fourth Proportional to 417.18, 625.77 and 109.03

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Solution

The fourth proportional to 417.18, 625.77 and 109.03 is: 163.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.18 : 625.77 = 109.03 : x
  2. Step 2: Convert to fraction form
    417.18/625.77 = 109.03/x
  3. Step 3: Cross multiply
    417.18x = 625.77 × 109.03
  4. Step 4: Simplify right side
    417.18x = 68,227.01
  5. Step 5: Solve for x
    x = 68,227.01/417.18
  6. Step 6: Final answer
    x = 163.55

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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.