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Finding the Fourth Proportional to 411.81, 617.66 and 155.25

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Solution

The fourth proportional to 411.81, 617.66 and 155.25 is: 232.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.81 : 617.66 = 155.25 : x
  2. Step 2: Convert to fraction form
    411.81/617.66 = 155.25/x
  3. Step 3: Cross multiply
    411.81x = 617.66 × 155.25
  4. Step 4: Simplify right side
    411.81x = 95,890.94
  5. Step 5: Solve for x
    x = 95,890.94/411.81
  6. Step 6: Final answer
    x = 232.85

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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.