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Finding the Fourth Proportional to 537.14, 739.69 and 461.84

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Solution

The fourth proportional to 537.14, 739.69 and 461.84 is: 635.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.14 : 739.69 = 461.84 : x
  2. Step 2: Convert to fraction form
    537.14/739.69 = 461.84/x
  3. Step 3: Cross multiply
    537.14x = 739.69 × 461.84
  4. Step 4: Simplify right side
    537.14x = 341,613.58
  5. Step 5: Solve for x
    x = 341,613.58/537.14
  6. Step 6: Final answer
    x = 635.98

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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.