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Finding the Fourth Proportional to 564.78, 847.19 and 199.49

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Solution

The fourth proportional to 564.78, 847.19 and 199.49 is: 299.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.78 : 847.19 = 199.49 : x
  2. Step 2: Convert to fraction form
    564.78/847.19 = 199.49/x
  3. Step 3: Cross multiply
    564.78x = 847.19 × 199.49
  4. Step 4: Simplify right side
    564.78x = 169,005.93
  5. Step 5: Solve for x
    x = 169,005.93/564.78
  6. Step 6: Final answer
    x = 299.24

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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.