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Finding the Fourth Proportional to 335.87, 463.69 and 262.02

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Solution

The fourth proportional to 335.87, 463.69 and 262.02 is: 361.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.87 : 463.69 = 262.02 : x
  2. Step 2: Convert to fraction form
    335.87/463.69 = 262.02/x
  3. Step 3: Cross multiply
    335.87x = 463.69 × 262.02
  4. Step 4: Simplify right side
    335.87x = 121,496.05
  5. Step 5: Solve for x
    x = 121,496.05/335.87
  6. Step 6: Final answer
    x = 361.74

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Why These Related Problems?

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