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Finding the Fourth Proportional to 383.29, 574.49 and 218.85

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Solution

The fourth proportional to 383.29, 574.49 and 218.85 is: 328.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.29 : 574.49 = 218.85 : x
  2. Step 2: Convert to fraction form
    383.29/574.49 = 218.85/x
  3. Step 3: Cross multiply
    383.29x = 574.49 × 218.85
  4. Step 4: Simplify right side
    383.29x = 125,725.53
  5. Step 5: Solve for x
    x = 125,725.53/383.29
  6. Step 6: Final answer
    x = 328.02

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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.