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Finding the Fourth Proportional to 880.21, 1,320.55 and 263.90

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Solution

The fourth proportional to 880.21, 1,320.55 and 263.90 is: 395.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.21 : 1,320.55 = 263.90 : x
  2. Step 2: Convert to fraction form
    880.21/1,320.55 = 263.90/x
  3. Step 3: Cross multiply
    880.21x = 1,320.55 × 263.90
  4. Step 4: Simplify right side
    880.21x = 348,491.83
  5. Step 5: Solve for x
    x = 348,491.83/880.21
  6. Step 6: Final answer
    x = 395.92

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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.