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Finding the Fourth Proportional to 411.76, 616.69 and 249.09

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Solution

The fourth proportional to 411.76, 616.69 and 249.09 is: 373.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.76 : 616.69 = 249.09 : x
  2. Step 2: Convert to fraction form
    411.76/616.69 = 249.09/x
  3. Step 3: Cross multiply
    411.76x = 616.69 × 249.09
  4. Step 4: Simplify right side
    411.76x = 153,611.31
  5. Step 5: Solve for x
    x = 153,611.31/411.76
  6. Step 6: Final answer
    x = 373.06

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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.