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Finding the Fourth Proportional to 447.36, 617.20 and 260.76

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Solution

The fourth proportional to 447.36, 617.20 and 260.76 is: 359.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.36 : 617.20 = 260.76 : x
  2. Step 2: Convert to fraction form
    447.36/617.20 = 260.76/x
  3. Step 3: Cross multiply
    447.36x = 617.20 × 260.76
  4. Step 4: Simplify right side
    447.36x = 160,941.07
  5. Step 5: Solve for x
    x = 160,941.07/447.36
  6. Step 6: Final answer
    x = 359.76

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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.