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Finding the Fourth Proportional to 880.85, 1,321.15 and 295.82

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Solution

The fourth proportional to 880.85, 1,321.15 and 295.82 is: 443.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.85 : 1,321.15 = 295.82 : x
  2. Step 2: Convert to fraction form
    880.85/1,321.15 = 295.82/x
  3. Step 3: Cross multiply
    880.85x = 1,321.15 × 295.82
  4. Step 4: Simplify right side
    880.85x = 390,822.59
  5. Step 5: Solve for x
    x = 390,822.59/880.85
  6. Step 6: Final answer
    x = 443.69

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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.