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Finding the Fourth Proportional to 563.21, 843.93 and 401.07

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Solution

The fourth proportional to 563.21, 843.93 and 401.07 is: 600.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.21 : 843.93 = 401.07 : x
  2. Step 2: Convert to fraction form
    563.21/843.93 = 401.07/x
  3. Step 3: Cross multiply
    563.21x = 843.93 × 401.07
  4. Step 4: Simplify right side
    563.21x = 338,475.01
  5. Step 5: Solve for x
    x = 338,475.01/563.21
  6. Step 6: Final answer
    x = 600.98

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