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Finding the Fourth Proportional to 613.36, 919.02 and 287.92

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Solution

The fourth proportional to 613.36, 919.02 and 287.92 is: 431.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.36 : 919.02 = 287.92 : x
  2. Step 2: Convert to fraction form
    613.36/919.02 = 287.92/x
  3. Step 3: Cross multiply
    613.36x = 919.02 × 287.92
  4. Step 4: Simplify right side
    613.36x = 264,604.24
  5. Step 5: Solve for x
    x = 264,604.24/613.36
  6. Step 6: Final answer
    x = 431.40

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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.