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Finding the Fourth Proportional to 880.09, 1,320.02 and 230.87

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Solution

The fourth proportional to 880.09, 1,320.02 and 230.87 is: 346.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.09 : 1,320.02 = 230.87 : x
  2. Step 2: Convert to fraction form
    880.09/1,320.02 = 230.87/x
  3. Step 3: Cross multiply
    880.09x = 1,320.02 × 230.87
  4. Step 4: Simplify right side
    880.09x = 304,755.16
  5. Step 5: Solve for x
    x = 304,755.16/880.09
  6. Step 6: Final answer
    x = 346.28

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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.