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Finding the Fourth Proportional to 411.29, 617.01 and 164.57

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Solution

The fourth proportional to 411.29, 617.01 and 164.57 is: 246.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.29 : 617.01 = 164.57 : x
  2. Step 2: Convert to fraction form
    411.29/617.01 = 164.57/x
  3. Step 3: Cross multiply
    411.29x = 617.01 × 164.57
  4. Step 4: Simplify right side
    411.29x = 101,541.34
  5. Step 5: Solve for x
    x = 101,541.34/411.29
  6. Step 6: Final answer
    x = 246.89

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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.