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Finding the Fourth Proportional to 411.84, 616.90 and 214.14

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Solution

The fourth proportional to 411.84, 616.90 and 214.14 is: 320.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.84 : 616.90 = 214.14 : x
  2. Step 2: Convert to fraction form
    411.84/616.90 = 214.14/x
  3. Step 3: Cross multiply
    411.84x = 616.90 × 214.14
  4. Step 4: Simplify right side
    411.84x = 132,102.97
  5. Step 5: Solve for x
    x = 132,102.97/411.84
  6. Step 6: Final answer
    x = 320.76

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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.