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Finding the Fourth Proportional to 412.84, 617.97 and 229.78

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Solution

The fourth proportional to 412.84, 617.97 and 229.78 is: 343.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.84 : 617.97 = 229.78 : x
  2. Step 2: Convert to fraction form
    412.84/617.97 = 229.78/x
  3. Step 3: Cross multiply
    412.84x = 617.97 × 229.78
  4. Step 4: Simplify right side
    412.84x = 141,994.06
  5. Step 5: Solve for x
    x = 141,994.06/412.84
  6. Step 6: Final answer
    x = 343.95

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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.