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Finding the Fourth Proportional to 880.06, 1,320.09 and 263.75

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Solution

The fourth proportional to 880.06, 1,320.09 and 263.75 is: 395.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.06 : 1,320.09 = 263.75 : x
  2. Step 2: Convert to fraction form
    880.06/1,320.09 = 263.75/x
  3. Step 3: Cross multiply
    880.06x = 1,320.09 × 263.75
  4. Step 4: Simplify right side
    880.06x = 348,171.10
  5. Step 5: Solve for x
    x = 348,171.10/880.06
  6. Step 6: Final answer
    x = 395.62

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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.