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Finding the Fourth Proportional to 613.30, 919.15 and 284.20

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Solution

The fourth proportional to 613.30, 919.15 and 284.20 is: 425.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.30 : 919.15 = 284.20 : x
  2. Step 2: Convert to fraction form
    613.30/919.15 = 284.20/x
  3. Step 3: Cross multiply
    613.30x = 919.15 × 284.20
  4. Step 4: Simplify right side
    613.30x = 261,222.43
  5. Step 5: Solve for x
    x = 261,222.43/613.30
  6. Step 6: Final answer
    x = 425.93

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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.