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Finding the Fourth Proportional to 881.12, 1,321.72 and 296.16

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Solution

The fourth proportional to 881.12, 1,321.72 and 296.16 is: 444.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.12 : 1,321.72 = 296.16 : x
  2. Step 2: Convert to fraction form
    881.12/1,321.72 = 296.16/x
  3. Step 3: Cross multiply
    881.12x = 1,321.72 × 296.16
  4. Step 4: Simplify right side
    881.12x = 391,440.60
  5. Step 5: Solve for x
    x = 391,440.60/881.12
  6. Step 6: Final answer
    x = 444.25

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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.