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Finding the Fourth Proportional to 881.77, 1,322.67 and 232.48

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Solution

The fourth proportional to 881.77, 1,322.67 and 232.48 is: 348.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.77 : 1,322.67 = 232.48 : x
  2. Step 2: Convert to fraction form
    881.77/1,322.67 = 232.48/x
  3. Step 3: Cross multiply
    881.77x = 1,322.67 × 232.48
  4. Step 4: Simplify right side
    881.77x = 307,494.32
  5. Step 5: Solve for x
    x = 307,494.32/881.77
  6. Step 6: Final answer
    x = 348.72

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