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Finding the Fourth Proportional to 417.72, 627.23 and 366.69

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Solution

The fourth proportional to 417.72, 627.23 and 366.69 is: 550.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.72 : 627.23 = 366.69 : x
  2. Step 2: Convert to fraction form
    417.72/627.23 = 366.69/x
  3. Step 3: Cross multiply
    417.72x = 627.23 × 366.69
  4. Step 4: Simplify right side
    417.72x = 229,998.97
  5. Step 5: Solve for x
    x = 229,998.97/417.72
  6. Step 6: Final answer
    x = 550.61

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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.