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Finding the Fourth Proportional to 612.86, 919.39 and 284.12

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Solution

The fourth proportional to 612.86, 919.39 and 284.12 is: 426.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.86 : 919.39 = 284.12 : x
  2. Step 2: Convert to fraction form
    612.86/919.39 = 284.12/x
  3. Step 3: Cross multiply
    612.86x = 919.39 × 284.12
  4. Step 4: Simplify right side
    612.86x = 261,218.67
  5. Step 5: Solve for x
    x = 261,218.67/612.86
  6. Step 6: Final answer
    x = 426.23

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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.