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Finding the Fourth Proportional to 492.95, 739.14 and 200.59

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Solution

The fourth proportional to 492.95, 739.14 and 200.59 is: 300.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.95 : 739.14 = 200.59 : x
  2. Step 2: Convert to fraction form
    492.95/739.14 = 200.59/x
  3. Step 3: Cross multiply
    492.95x = 739.14 × 200.59
  4. Step 4: Simplify right side
    492.95x = 148,266.78
  5. Step 5: Solve for x
    x = 148,266.78/492.95
  6. Step 6: Final answer
    x = 300.77

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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.