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Finding the Fourth Proportional to 417.56, 625.80 and 173.76

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Solution

The fourth proportional to 417.56, 625.80 and 173.76 is: 260.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.56 : 625.80 = 173.76 : x
  2. Step 2: Convert to fraction form
    417.56/625.80 = 173.76/x
  3. Step 3: Cross multiply
    417.56x = 625.80 × 173.76
  4. Step 4: Simplify right side
    417.56x = 108,739.01
  5. Step 5: Solve for x
    x = 108,739.01/417.56
  6. Step 6: Final answer
    x = 260.42

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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.