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Finding the Fourth Proportional to 567.99, 852.37 and 243.43

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Solution

The fourth proportional to 567.99, 852.37 and 243.43 is: 365.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.99 : 852.37 = 243.43 : x
  2. Step 2: Convert to fraction form
    567.99/852.37 = 243.43/x
  3. Step 3: Cross multiply
    567.99x = 852.37 × 243.43
  4. Step 4: Simplify right side
    567.99x = 207,489.69
  5. Step 5: Solve for x
    x = 207,489.69/567.99
  6. Step 6: Final answer
    x = 365.31

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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.