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Finding the Fourth Proportional to 447.13, 617.31 and 292.15

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Solution

The fourth proportional to 447.13, 617.31 and 292.15 is: 403.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.13 : 617.31 = 292.15 : x
  2. Step 2: Convert to fraction form
    447.13/617.31 = 292.15/x
  3. Step 3: Cross multiply
    447.13x = 617.31 × 292.15
  4. Step 4: Simplify right side
    447.13x = 180,342.57
  5. Step 5: Solve for x
    x = 180,342.57/447.13
  6. Step 6: Final answer
    x = 403.34

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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.