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Finding the Fourth Proportional to 335.54, 463.03 and 202.79

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Solution

The fourth proportional to 335.54, 463.03 and 202.79 is: 279.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.54 : 463.03 = 202.79 : x
  2. Step 2: Convert to fraction form
    335.54/463.03 = 202.79/x
  3. Step 3: Cross multiply
    335.54x = 463.03 × 202.79
  4. Step 4: Simplify right side
    335.54x = 93,898.50
  5. Step 5: Solve for x
    x = 93,898.50/335.54
  6. Step 6: Final answer
    x = 279.84

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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.