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Finding the Fourth Proportional to 564.79, 845.42 and 379.33

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Solution

The fourth proportional to 564.79, 845.42 and 379.33 is: 567.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.79 : 845.42 = 379.33 : x
  2. Step 2: Convert to fraction form
    564.79/845.42 = 379.33/x
  3. Step 3: Cross multiply
    564.79x = 845.42 × 379.33
  4. Step 4: Simplify right side
    564.79x = 320,691.27
  5. Step 5: Solve for x
    x = 320,691.27/564.79
  6. Step 6: Final answer
    x = 567.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.