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Finding the Fourth Proportional to 408.01, 563.06 and 319.60

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Solution

The fourth proportional to 408.01, 563.06 and 319.60 is: 441.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.01 : 563.06 = 319.60 : x
  2. Step 2: Convert to fraction form
    408.01/563.06 = 319.60/x
  3. Step 3: Cross multiply
    408.01x = 563.06 × 319.60
  4. Step 4: Simplify right side
    408.01x = 179,953.98
  5. Step 5: Solve for x
    x = 179,953.98/408.01
  6. Step 6: Final answer
    x = 441.05

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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.