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Finding the Fourth Proportional to 417.20, 626.05 and 173.70

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Solution

The fourth proportional to 417.20, 626.05 and 173.70 is: 260.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.20 : 626.05 = 173.70 : x
  2. Step 2: Convert to fraction form
    417.20/626.05 = 173.70/x
  3. Step 3: Cross multiply
    417.20x = 626.05 × 173.70
  4. Step 4: Simplify right side
    417.20x = 108,744.89
  5. Step 5: Solve for x
    x = 108,744.89/417.20
  6. Step 6: Final answer
    x = 260.65

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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.