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Finding the Fourth Proportional to 492.93, 739.62 and 204.57

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Solution

The fourth proportional to 492.93, 739.62 and 204.57 is: 306.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.93 : 739.62 = 204.57 : x
  2. Step 2: Convert to fraction form
    492.93/739.62 = 204.57/x
  3. Step 3: Cross multiply
    492.93x = 739.62 × 204.57
  4. Step 4: Simplify right side
    492.93x = 151,304.06
  5. Step 5: Solve for x
    x = 151,304.06/492.93
  6. Step 6: Final answer
    x = 306.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.