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Finding the Fourth Proportional to 567.87, 852.23 and 243.46

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Solution

The fourth proportional to 567.87, 852.23 and 243.46 is: 365.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.87 : 852.23 = 243.46 : x
  2. Step 2: Convert to fraction form
    567.87/852.23 = 243.46/x
  3. Step 3: Cross multiply
    567.87x = 852.23 × 243.46
  4. Step 4: Simplify right side
    567.87x = 207,483.92
  5. Step 5: Solve for x
    x = 207,483.92/567.87
  6. Step 6: Final answer
    x = 365.37

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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.