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Finding the Fourth Proportional to 408.27, 563.58 and 342.66

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Solution

The fourth proportional to 408.27, 563.58 and 342.66 is: 473.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.27 : 563.58 = 342.66 : x
  2. Step 2: Convert to fraction form
    408.27/563.58 = 342.66/x
  3. Step 3: Cross multiply
    408.27x = 563.58 × 342.66
  4. Step 4: Simplify right side
    408.27x = 193,116.32
  5. Step 5: Solve for x
    x = 193,116.32/408.27
  6. Step 6: Final answer
    x = 473.01

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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.