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Finding the Fourth Proportional to 564.14, 844.99 and 550.37

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Solution

The fourth proportional to 564.14, 844.99 and 550.37 is: 824.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.14 : 844.99 = 550.37 : x
  2. Step 2: Convert to fraction form
    564.14/844.99 = 550.37/x
  3. Step 3: Cross multiply
    564.14x = 844.99 × 550.37
  4. Step 4: Simplify right side
    564.14x = 465,057.15
  5. Step 5: Solve for x
    x = 465,057.15/564.14
  6. Step 6: Final answer
    x = 824.36

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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.