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Finding the Fourth Proportional to 880.16, 1,320.20 and 230.87

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Solution

The fourth proportional to 880.16, 1,320.20 and 230.87 is: 346.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.16 : 1,320.20 = 230.87 : x
  2. Step 2: Convert to fraction form
    880.16/1,320.20 = 230.87/x
  3. Step 3: Cross multiply
    880.16x = 1,320.20 × 230.87
  4. Step 4: Simplify right side
    880.16x = 304,793.42
  5. Step 5: Solve for x
    x = 304,793.42/880.16
  6. Step 6: Final answer
    x = 346.29

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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.