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Finding the Fourth Proportional to 408.21, 563.16 and 260.92

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Solution

The fourth proportional to 408.21, 563.16 and 260.92 is: 359.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.21 : 563.16 = 260.92 : x
  2. Step 2: Convert to fraction form
    408.21/563.16 = 260.92/x
  3. Step 3: Cross multiply
    408.21x = 563.16 × 260.92
  4. Step 4: Simplify right side
    408.21x = 146,939.71
  5. Step 5: Solve for x
    x = 146,939.71/408.21
  6. Step 6: Final answer
    x = 359.96

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Why These Related Problems?

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