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Finding the Fourth Proportional to 880.05, 1,319.13 and 359.97

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Solution

The fourth proportional to 880.05, 1,319.13 and 359.97 is: 539.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.05 : 1,319.13 = 359.97 : x
  2. Step 2: Convert to fraction form
    880.05/1,319.13 = 359.97/x
  3. Step 3: Cross multiply
    880.05x = 1,319.13 × 359.97
  4. Step 4: Simplify right side
    880.05x = 474,847.23
  5. Step 5: Solve for x
    x = 474,847.23/880.05
  6. Step 6: Final answer
    x = 539.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.