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Finding the Fourth Proportional to 411.14, 616.44 and 266.96

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Solution

The fourth proportional to 411.14, 616.44 and 266.96 is: 400.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.14 : 616.44 = 266.96 : x
  2. Step 2: Convert to fraction form
    411.14/616.44 = 266.96/x
  3. Step 3: Cross multiply
    411.14x = 616.44 × 266.96
  4. Step 4: Simplify right side
    411.14x = 164,564.82
  5. Step 5: Solve for x
    x = 164,564.82/411.14
  6. Step 6: Final answer
    x = 400.26

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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.