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Finding the Fourth Proportional to 880.05, 1,320.34 and 263.78

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Solution

The fourth proportional to 880.05, 1,320.34 and 263.78 is: 395.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.05 : 1,320.34 = 263.78 : x
  2. Step 2: Convert to fraction form
    880.05/1,320.34 = 263.78/x
  3. Step 3: Cross multiply
    880.05x = 1,320.34 × 263.78
  4. Step 4: Simplify right side
    880.05x = 348,272.52
  5. Step 5: Solve for x
    x = 348,272.52/880.05
  6. Step 6: Final answer
    x = 395.74

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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.