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Finding the Fourth Proportional to 564.41, 846.89 and 199.37

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Solution

The fourth proportional to 564.41, 846.89 and 199.37 is: 299.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.41 : 846.89 = 199.37 : x
  2. Step 2: Convert to fraction form
    564.41/846.89 = 199.37/x
  3. Step 3: Cross multiply
    564.41x = 846.89 × 199.37
  4. Step 4: Simplify right side
    564.41x = 168,843.46
  5. Step 5: Solve for x
    x = 168,843.46/564.41
  6. Step 6: Final answer
    x = 299.15

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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.