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Finding the Fourth Proportional to 417.29, 625.84 and 174.09

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Solution

The fourth proportional to 417.29, 625.84 and 174.09 is: 261.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.29 : 625.84 = 174.09 : x
  2. Step 2: Convert to fraction form
    417.29/625.84 = 174.09/x
  3. Step 3: Cross multiply
    417.29x = 625.84 × 174.09
  4. Step 4: Simplify right side
    417.29x = 108,952.05
  5. Step 5: Solve for x
    x = 108,952.05/417.29
  6. Step 6: Final answer
    x = 261.09

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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.