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Finding the Fourth Proportional to 564.81, 847.33 and 199.63

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Solution

The fourth proportional to 564.81, 847.33 and 199.63 is: 299.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.81 : 847.33 = 199.63 : x
  2. Step 2: Convert to fraction form
    564.81/847.33 = 199.63/x
  3. Step 3: Cross multiply
    564.81x = 847.33 × 199.63
  4. Step 4: Simplify right side
    564.81x = 169,152.49
  5. Step 5: Solve for x
    x = 169,152.49/564.81
  6. Step 6: Final answer
    x = 299.49

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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.