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Finding the Fourth Proportional to 362.19, 542.74 and 335.19

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Solution

The fourth proportional to 362.19, 542.74 and 335.19 is: 502.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.19 : 542.74 = 335.19 : x
  2. Step 2: Convert to fraction form
    362.19/542.74 = 335.19/x
  3. Step 3: Cross multiply
    362.19x = 542.74 × 335.19
  4. Step 4: Simplify right side
    362.19x = 181,921.02
  5. Step 5: Solve for x
    x = 181,921.02/362.19
  6. Step 6: Final answer
    x = 502.28

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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.