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Finding the Fourth Proportional to 411.24, 617.04 and 247.03

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Solution

The fourth proportional to 411.24, 617.04 and 247.03 is: 370.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.24 : 617.04 = 247.03 : x
  2. Step 2: Convert to fraction form
    411.24/617.04 = 247.03/x
  3. Step 3: Cross multiply
    411.24x = 617.04 × 247.03
  4. Step 4: Simplify right side
    411.24x = 152,425.85
  5. Step 5: Solve for x
    x = 152,425.85/411.24
  6. Step 6: Final answer
    x = 370.65

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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.