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Finding the Fourth Proportional to 613.50, 919.47 and 301.29

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Solution

The fourth proportional to 613.50, 919.47 and 301.29 is: 451.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.50 : 919.47 = 301.29 : x
  2. Step 2: Convert to fraction form
    613.50/919.47 = 301.29/x
  3. Step 3: Cross multiply
    613.50x = 919.47 × 301.29
  4. Step 4: Simplify right side
    613.50x = 277,027.12
  5. Step 5: Solve for x
    x = 277,027.12/613.50
  6. Step 6: Final answer
    x = 451.55

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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.