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Finding the Fourth Proportional to 411.70, 616.86 and 229

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Solution

The fourth proportional to 411.70, 616.86 and 229 is: 343.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.70 : 616.86 = 229 : x
  2. Step 2: Convert to fraction form
    411.70/616.86 = 229/x
  3. Step 3: Cross multiply
    411.70x = 616.86 × 229
  4. Step 4: Simplify right side
    411.70x = 141,260.94
  5. Step 5: Solve for x
    x = 141,260.94/411.70
  6. Step 6: Final answer
    x = 343.12

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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.