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Finding the Fourth Proportional to 539.87, 745.20 and 343.64

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Solution

The fourth proportional to 539.87, 745.20 and 343.64 is: 474.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.87 : 745.20 = 343.64 : x
  2. Step 2: Convert to fraction form
    539.87/745.20 = 343.64/x
  3. Step 3: Cross multiply
    539.87x = 745.20 × 343.64
  4. Step 4: Simplify right side
    539.87x = 256,082.39
  5. Step 5: Solve for x
    x = 256,082.39/539.87
  6. Step 6: Final answer
    x = 474.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.