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Finding the Fourth Proportional to 880.41, 1,320.62 and 231.15

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Solution

The fourth proportional to 880.41, 1,320.62 and 231.15 is: 346.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.41 : 1,320.62 = 231.15 : x
  2. Step 2: Convert to fraction form
    880.41/1,320.62 = 231.15/x
  3. Step 3: Cross multiply
    880.41x = 1,320.62 × 231.15
  4. Step 4: Simplify right side
    880.41x = 305,261.31
  5. Step 5: Solve for x
    x = 305,261.31/880.41
  6. Step 6: Final answer
    x = 346.73

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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.