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Finding the Fourth Proportional to 563.70, 778.08 and 327.80

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Solution

The fourth proportional to 563.70, 778.08 and 327.80 is: 452.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.70 : 778.08 = 327.80 : x
  2. Step 2: Convert to fraction form
    563.70/778.08 = 327.80/x
  3. Step 3: Cross multiply
    563.70x = 778.08 × 327.80
  4. Step 4: Simplify right side
    563.70x = 255,050.73
  5. Step 5: Solve for x
    x = 255,050.73/563.70
  6. Step 6: Final answer
    x = 452.46

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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.