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Finding the Fourth Proportional to 335.52, 462.99 and 202.83

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Solution

The fourth proportional to 335.52, 462.99 and 202.83 is: 279.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.52 : 462.99 = 202.83 : x
  2. Step 2: Convert to fraction form
    335.52/462.99 = 202.83/x
  3. Step 3: Cross multiply
    335.52x = 462.99 × 202.83
  4. Step 4: Simplify right side
    335.52x = 93,908.26
  5. Step 5: Solve for x
    x = 93,908.26/335.52
  6. Step 6: Final answer
    x = 279.89

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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.