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Finding the Fourth Proportional to 880.41, 1,320.72 and 295.49

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Solution

The fourth proportional to 880.41, 1,320.72 and 295.49 is: 443.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.41 : 1,320.72 = 295.49 : x
  2. Step 2: Convert to fraction form
    880.41/1,320.72 = 295.49/x
  3. Step 3: Cross multiply
    880.41x = 1,320.72 × 295.49
  4. Step 4: Simplify right side
    880.41x = 390,259.55
  5. Step 5: Solve for x
    x = 390,259.55/880.41
  6. Step 6: Final answer
    x = 443.27

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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.