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Finding the Fourth Proportional to 335.66, 463.30 and 202.92

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Solution

The fourth proportional to 335.66, 463.30 and 202.92 is: 280.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.66 : 463.30 = 202.92 : x
  2. Step 2: Convert to fraction form
    335.66/463.30 = 202.92/x
  3. Step 3: Cross multiply
    335.66x = 463.30 × 202.92
  4. Step 4: Simplify right side
    335.66x = 94,014.34
  5. Step 5: Solve for x
    x = 94,014.34/335.66
  6. Step 6: Final answer
    x = 280.09

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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.