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Finding the Fourth Proportional to 408.62, 563.51 and 261

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Solution

The fourth proportional to 408.62, 563.51 and 261 is: 359.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.62 : 563.51 = 261 : x
  2. Step 2: Convert to fraction form
    408.62/563.51 = 261/x
  3. Step 3: Cross multiply
    408.62x = 563.51 × 261
  4. Step 4: Simplify right side
    408.62x = 147,076.76
  5. Step 5: Solve for x
    x = 147,076.76/408.62
  6. Step 6: Final answer
    x = 359.93

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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.