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Finding the Fourth Proportional to 417.67, 626.49 and 143.76

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Solution

The fourth proportional to 417.67, 626.49 and 143.76 is: 215.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.67 : 626.49 = 143.76 : x
  2. Step 2: Convert to fraction form
    417.67/626.49 = 143.76/x
  3. Step 3: Cross multiply
    417.67x = 626.49 × 143.76
  4. Step 4: Simplify right side
    417.67x = 90,062.62
  5. Step 5: Solve for x
    x = 90,062.62/417.67
  6. Step 6: Final answer
    x = 215.63

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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.