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Finding the Fourth Proportional to 408.16, 562.83 and 260.80

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Solution

The fourth proportional to 408.16, 562.83 and 260.80 is: 359.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.16 : 562.83 = 260.80 : x
  2. Step 2: Convert to fraction form
    408.16/562.83 = 260.80/x
  3. Step 3: Cross multiply
    408.16x = 562.83 × 260.80
  4. Step 4: Simplify right side
    408.16x = 146,786.06
  5. Step 5: Solve for x
    x = 146,786.06/408.16
  6. Step 6: Final answer
    x = 359.63

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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.