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Finding the Fourth Proportional to 881.98, 1,323.08 and 296.78

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Solution

The fourth proportional to 881.98, 1,323.08 and 296.78 is: 445.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.98 : 1,323.08 = 296.78 : x
  2. Step 2: Convert to fraction form
    881.98/1,323.08 = 296.78/x
  3. Step 3: Cross multiply
    881.98x = 1,323.08 × 296.78
  4. Step 4: Simplify right side
    881.98x = 392,663.68
  5. Step 5: Solve for x
    x = 392,663.68/881.98
  6. Step 6: Final answer
    x = 445.21

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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.