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Finding the Fourth Proportional to 362.10, 542.37 and 336.78

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Solution

The fourth proportional to 362.10, 542.37 and 336.78 is: 504.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.10 : 542.37 = 336.78 : x
  2. Step 2: Convert to fraction form
    362.10/542.37 = 336.78/x
  3. Step 3: Cross multiply
    362.10x = 542.37 × 336.78
  4. Step 4: Simplify right side
    362.10x = 182,659.37
  5. Step 5: Solve for x
    x = 182,659.37/362.10
  6. Step 6: Final answer
    x = 504.44

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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.