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Finding the Fourth Proportional to 613.28, 919.96 and 288.88

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Solution

The fourth proportional to 613.28, 919.96 and 288.88 is: 433.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.28 : 919.96 = 288.88 : x
  2. Step 2: Convert to fraction form
    613.28/919.96 = 288.88/x
  3. Step 3: Cross multiply
    613.28x = 919.96 × 288.88
  4. Step 4: Simplify right side
    613.28x = 265,755.02
  5. Step 5: Solve for x
    x = 265,755.02/613.28
  6. Step 6: Final answer
    x = 433.33

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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.