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Finding the Fourth Proportional to 411.17, 616.01 and 256.79

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Solution

The fourth proportional to 411.17, 616.01 and 256.79 is: 384.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.17 : 616.01 = 256.79 : x
  2. Step 2: Convert to fraction form
    411.17/616.01 = 256.79/x
  3. Step 3: Cross multiply
    411.17x = 616.01 × 256.79
  4. Step 4: Simplify right side
    411.17x = 158,180.84
  5. Step 5: Solve for x
    x = 158,180.84/411.17
  6. Step 6: Final answer
    x = 384.71

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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.