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Finding the Fourth Proportional to 398.58, 550.03 and 221.54

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Solution

The fourth proportional to 398.58, 550.03 and 221.54 is: 305.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.58 : 550.03 = 221.54 : x
  2. Step 2: Convert to fraction form
    398.58/550.03 = 221.54/x
  3. Step 3: Cross multiply
    398.58x = 550.03 × 221.54
  4. Step 4: Simplify right side
    398.58x = 121,853.65
  5. Step 5: Solve for x
    x = 121,853.65/398.58
  6. Step 6: Final answer
    x = 305.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.