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Finding the Fourth Proportional to 395.90, 546.33 and 218.87

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Solution

The fourth proportional to 395.90, 546.33 and 218.87 is: 302.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.90 : 546.33 = 218.87 : x
  2. Step 2: Convert to fraction form
    395.90/546.33 = 218.87/x
  3. Step 3: Cross multiply
    395.90x = 546.33 × 218.87
  4. Step 4: Simplify right side
    395.90x = 119,576.23
  5. Step 5: Solve for x
    x = 119,576.23/395.90
  6. Step 6: Final answer
    x = 302.04

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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.