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Finding the Fourth Proportional to 492.53, 739.10 and 200.06

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Solution

The fourth proportional to 492.53, 739.10 and 200.06 is: 300.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.53 : 739.10 = 200.06 : x
  2. Step 2: Convert to fraction form
    492.53/739.10 = 200.06/x
  3. Step 3: Cross multiply
    492.53x = 739.10 × 200.06
  4. Step 4: Simplify right side
    492.53x = 147,862.32
  5. Step 5: Solve for x
    x = 147,862.32/492.53
  6. Step 6: Final answer
    x = 300.21

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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.