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Finding the Fourth Proportional to 563.56, 844.72 and 380.90

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Solution

The fourth proportional to 563.56, 844.72 and 380.90 is: 570.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.56 : 844.72 = 380.90 : x
  2. Step 2: Convert to fraction form
    563.56/844.72 = 380.90/x
  3. Step 3: Cross multiply
    563.56x = 844.72 × 380.90
  4. Step 4: Simplify right side
    563.56x = 321,753.85
  5. Step 5: Solve for x
    x = 321,753.85/563.56
  6. Step 6: Final answer
    x = 570.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.