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Finding the Fourth Proportional to 564.69, 847.16 and 199.48

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Solution

The fourth proportional to 564.69, 847.16 and 199.48 is: 299.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.69 : 847.16 = 199.48 : x
  2. Step 2: Convert to fraction form
    564.69/847.16 = 199.48/x
  3. Step 3: Cross multiply
    564.69x = 847.16 × 199.48
  4. Step 4: Simplify right side
    564.69x = 168,989.86
  5. Step 5: Solve for x
    x = 168,989.86/564.69
  6. Step 6: Final answer
    x = 299.26

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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.