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Finding the Fourth Proportional to 564.64, 846.94 and 199.42

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Solution

The fourth proportional to 564.64, 846.94 and 199.42 is: 299.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.64 : 846.94 = 199.42 : x
  2. Step 2: Convert to fraction form
    564.64/846.94 = 199.42/x
  3. Step 3: Cross multiply
    564.64x = 846.94 × 199.42
  4. Step 4: Simplify right side
    564.64x = 168,897.33
  5. Step 5: Solve for x
    x = 168,897.33/564.64
  6. Step 6: Final answer
    x = 299.12

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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.