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Finding the Fourth Proportional to 417.44, 626.16 and 173.80

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Solution

The fourth proportional to 417.44, 626.16 and 173.80 is: 260.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.44 : 626.16 = 173.80 : x
  2. Step 2: Convert to fraction form
    417.44/626.16 = 173.80/x
  3. Step 3: Cross multiply
    417.44x = 626.16 × 173.80
  4. Step 4: Simplify right side
    417.44x = 108,826.61
  5. Step 5: Solve for x
    x = 108,826.61/417.44
  6. Step 6: Final answer
    x = 260.70

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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.