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Finding the Fourth Proportional to 563.00, 843.89 and 400.19

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Solution

The fourth proportional to 563.00, 843.89 and 400.19 is: 599.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.00 : 843.89 = 400.19 : x
  2. Step 2: Convert to fraction form
    563.00/843.89 = 400.19/x
  3. Step 3: Cross multiply
    563.00x = 843.89 × 400.19
  4. Step 4: Simplify right side
    563.00x = 337,710.12
  5. Step 5: Solve for x
    x = 337,710.12/563.00
  6. Step 6: Final answer
    x = 599.85

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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.