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Finding the Fourth Proportional to 447.34, 617.31 and 260.86

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Solution

The fourth proportional to 447.34, 617.31 and 260.86 is: 359.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.34 : 617.31 = 260.86 : x
  2. Step 2: Convert to fraction form
    447.34/617.31 = 260.86/x
  3. Step 3: Cross multiply
    447.34x = 617.31 × 260.86
  4. Step 4: Simplify right side
    447.34x = 161,031.49
  5. Step 5: Solve for x
    x = 161,031.49/447.34
  6. Step 6: Final answer
    x = 359.98

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