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Finding the Fourth Proportional to 477.97, 717.07 and 218.05

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Solution

The fourth proportional to 477.97, 717.07 and 218.05 is: 327.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.97 : 717.07 = 218.05 : x
  2. Step 2: Convert to fraction form
    477.97/717.07 = 218.05/x
  3. Step 3: Cross multiply
    477.97x = 717.07 × 218.05
  4. Step 4: Simplify right side
    477.97x = 156,357.11
  5. Step 5: Solve for x
    x = 156,357.11/477.97
  6. Step 6: Final answer
    x = 327.13

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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.