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Finding the Fourth Proportional to 564.97, 847.56 and 199.71

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Solution

The fourth proportional to 564.97, 847.56 and 199.71 is: 299.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.97 : 847.56 = 199.71 : x
  2. Step 2: Convert to fraction form
    564.97/847.56 = 199.71/x
  3. Step 3: Cross multiply
    564.97x = 847.56 × 199.71
  4. Step 4: Simplify right side
    564.97x = 169,266.21
  5. Step 5: Solve for x
    x = 169,266.21/564.97
  6. Step 6: Final answer
    x = 299.60

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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.