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Finding the Fourth Proportional to 454.23, 681.38 and 219.89

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Solution

The fourth proportional to 454.23, 681.38 and 219.89 is: 329.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.23 : 681.38 = 219.89 : x
  2. Step 2: Convert to fraction form
    454.23/681.38 = 219.89/x
  3. Step 3: Cross multiply
    454.23x = 681.38 × 219.89
  4. Step 4: Simplify right side
    454.23x = 149,829.25
  5. Step 5: Solve for x
    x = 149,829.25/454.23
  6. Step 6: Final answer
    x = 329.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.