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Finding the Fourth Proportional to 539.16, 806.76 and 452.76

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Solution

The fourth proportional to 539.16, 806.76 and 452.76 is: 677.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.16 : 806.76 = 452.76 : x
  2. Step 2: Convert to fraction form
    539.16/806.76 = 452.76/x
  3. Step 3: Cross multiply
    539.16x = 806.76 × 452.76
  4. Step 4: Simplify right side
    539.16x = 365,268.66
  5. Step 5: Solve for x
    x = 365,268.66/539.16
  6. Step 6: Final answer
    x = 677.48

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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.