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Finding the Fourth Proportional to 881.56, 1,322.52 and 304.48

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Solution

The fourth proportional to 881.56, 1,322.52 and 304.48 is: 456.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.56 : 1,322.52 = 304.48 : x
  2. Step 2: Convert to fraction form
    881.56/1,322.52 = 304.48/x
  3. Step 3: Cross multiply
    881.56x = 1,322.52 × 304.48
  4. Step 4: Simplify right side
    881.56x = 402,680.89
  5. Step 5: Solve for x
    x = 402,680.89/881.56
  6. Step 6: Final answer
    x = 456.78

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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.