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Finding the Fourth Proportional to 881.71, 1,322.55 and 232.45

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Solution

The fourth proportional to 881.71, 1,322.55 and 232.45 is: 348.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.71 : 1,322.55 = 232.45 : x
  2. Step 2: Convert to fraction form
    881.71/1,322.55 = 232.45/x
  3. Step 3: Cross multiply
    881.71x = 1,322.55 × 232.45
  4. Step 4: Simplify right side
    881.71x = 307,420.13
  5. Step 5: Solve for x
    x = 307,420.13/881.71
  6. Step 6: Final answer
    x = 348.67

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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.