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Finding the Fourth Proportional to 537.67, 806.57 and 463.82

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Solution

The fourth proportional to 537.67, 806.57 and 463.82 is: 695.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.67 : 806.57 = 463.82 : x
  2. Step 2: Convert to fraction form
    537.67/806.57 = 463.82/x
  3. Step 3: Cross multiply
    537.67x = 806.57 × 463.82
  4. Step 4: Simplify right side
    537.67x = 374,100.98
  5. Step 5: Solve for x
    x = 374,100.98/537.67
  6. Step 6: Final answer
    x = 695.79

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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.