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Finding the Fourth Proportional to 417.19, 625.80 and 109.04

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Solution

The fourth proportional to 417.19, 625.80 and 109.04 is: 163.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.19 : 625.80 = 109.04 : x
  2. Step 2: Convert to fraction form
    417.19/625.80 = 109.04/x
  3. Step 3: Cross multiply
    417.19x = 625.80 × 109.04
  4. Step 4: Simplify right side
    417.19x = 68,235.31
  5. Step 5: Solve for x
    x = 68,235.31/417.19
  6. Step 6: Final answer
    x = 163.56

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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.