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Finding the Fourth Proportional to 613.61, 919.51 and 284.65

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Solution

The fourth proportional to 613.61, 919.51 and 284.65 is: 426.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.61 : 919.51 = 284.65 : x
  2. Step 2: Convert to fraction form
    613.61/919.51 = 284.65/x
  3. Step 3: Cross multiply
    613.61x = 919.51 × 284.65
  4. Step 4: Simplify right side
    613.61x = 261,733.92
  5. Step 5: Solve for x
    x = 261,733.92/613.61
  6. Step 6: Final answer
    x = 426.55

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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.