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Finding the Fourth Proportional to 337.37, 505.49 and 200.53

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Solution

The fourth proportional to 337.37, 505.49 and 200.53 is: 300.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.37 : 505.49 = 200.53 : x
  2. Step 2: Convert to fraction form
    337.37/505.49 = 200.53/x
  3. Step 3: Cross multiply
    337.37x = 505.49 × 200.53
  4. Step 4: Simplify right side
    337.37x = 101,363.82
  5. Step 5: Solve for x
    x = 101,363.82/337.37
  6. Step 6: Final answer
    x = 300.46

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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.