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Finding the Fourth Proportional to 880.68, 1,320.81 and 295.70

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Solution

The fourth proportional to 880.68, 1,320.81 and 295.70 is: 443.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.68 : 1,320.81 = 295.70 : x
  2. Step 2: Convert to fraction form
    880.68/1,320.81 = 295.70/x
  3. Step 3: Cross multiply
    880.68x = 1,320.81 × 295.70
  4. Step 4: Simplify right side
    880.68x = 390,562.04
  5. Step 5: Solve for x
    x = 390,562.04/880.68
  6. Step 6: Final answer
    x = 443.48

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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.