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Finding the Fourth Proportional to 408.47, 563.48 and 260.96

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Solution

The fourth proportional to 408.47, 563.48 and 260.96 is: 359.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.47 : 563.48 = 260.96 : x
  2. Step 2: Convert to fraction form
    408.47/563.48 = 260.96/x
  3. Step 3: Cross multiply
    408.47x = 563.48 × 260.96
  4. Step 4: Simplify right side
    408.47x = 147,041.62
  5. Step 5: Solve for x
    x = 147,041.62/408.47
  6. Step 6: Final answer
    x = 359.99

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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.