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Finding the Fourth Proportional to 880.09, 1,320.38 and 295.14

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Solution

The fourth proportional to 880.09, 1,320.38 and 295.14 is: 442.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.09 : 1,320.38 = 295.14 : x
  2. Step 2: Convert to fraction form
    880.09/1,320.38 = 295.14/x
  3. Step 3: Cross multiply
    880.09x = 1,320.38 × 295.14
  4. Step 4: Simplify right side
    880.09x = 389,696.95
  5. Step 5: Solve for x
    x = 389,696.95/880.09
  6. Step 6: Final answer
    x = 442.79

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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.