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Finding the Fourth Proportional to 408.56, 563.58 and 277.34

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Solution

The fourth proportional to 408.56, 563.58 and 277.34 is: 382.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.56 : 563.58 = 277.34 : x
  2. Step 2: Convert to fraction form
    408.56/563.58 = 277.34/x
  3. Step 3: Cross multiply
    408.56x = 563.58 × 277.34
  4. Step 4: Simplify right side
    408.56x = 156,300.46
  5. Step 5: Solve for x
    x = 156,300.46/408.56
  6. Step 6: Final answer
    x = 382.57

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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.