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Finding the Fourth Proportional to 880.42, 1,320.71 and 231.16

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Solution

The fourth proportional to 880.42, 1,320.71 and 231.16 is: 346.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.42 : 1,320.71 = 231.16 : x
  2. Step 2: Convert to fraction form
    880.42/1,320.71 = 231.16/x
  3. Step 3: Cross multiply
    880.42x = 1,320.71 × 231.16
  4. Step 4: Simplify right side
    880.42x = 305,295.32
  5. Step 5: Solve for x
    x = 305,295.32/880.42
  6. Step 6: Final answer
    x = 346.76

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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.