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Finding the Fourth Proportional to 335.24, 462.74 and 204.32

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Solution

The fourth proportional to 335.24, 462.74 and 204.32 is: 282.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.24 : 462.74 = 204.32 : x
  2. Step 2: Convert to fraction form
    335.24/462.74 = 204.32/x
  3. Step 3: Cross multiply
    335.24x = 462.74 × 204.32
  4. Step 4: Simplify right side
    335.24x = 94,543.70
  5. Step 5: Solve for x
    x = 94,543.70/335.24
  6. Step 6: Final answer
    x = 282.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.