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Finding the Fourth Proportional to 447.61, 617.76 and 261.15

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Solution

The fourth proportional to 447.61, 617.76 and 261.15 is: 360.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.61 : 617.76 = 261.15 : x
  2. Step 2: Convert to fraction form
    447.61/617.76 = 261.15/x
  3. Step 3: Cross multiply
    447.61x = 617.76 × 261.15
  4. Step 4: Simplify right side
    447.61x = 161,328.02
  5. Step 5: Solve for x
    x = 161,328.02/447.61
  6. Step 6: Final answer
    x = 360.42

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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.