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Finding the Fourth Proportional to 881.48, 1,322.22 and 232.27

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Solution

The fourth proportional to 881.48, 1,322.22 and 232.27 is: 348.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.48 : 1,322.22 = 232.27 : x
  2. Step 2: Convert to fraction form
    881.48/1,322.22 = 232.27/x
  3. Step 3: Cross multiply
    881.48x = 1,322.22 × 232.27
  4. Step 4: Simplify right side
    881.48x = 307,109.60
  5. Step 5: Solve for x
    x = 307,109.60/881.48
  6. Step 6: Final answer
    x = 348.40

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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.