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Finding the Fourth Proportional to 447.30, 617.24 and 260.75

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Solution

The fourth proportional to 447.30, 617.24 and 260.75 is: 359.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.30 : 617.24 = 260.75 : x
  2. Step 2: Convert to fraction form
    447.30/617.24 = 260.75/x
  3. Step 3: Cross multiply
    447.30x = 617.24 × 260.75
  4. Step 4: Simplify right side
    447.30x = 160,947.52
  5. Step 5: Solve for x
    x = 160,947.52/447.30
  6. Step 6: Final answer
    x = 359.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.