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Finding the Fourth Proportional to 335.96, 463.74 and 232.28

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Solution

The fourth proportional to 335.96, 463.74 and 232.28 is: 320.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.96 : 463.74 = 232.28 : x
  2. Step 2: Convert to fraction form
    335.96/463.74 = 232.28/x
  3. Step 3: Cross multiply
    335.96x = 463.74 × 232.28
  4. Step 4: Simplify right side
    335.96x = 107,717.53
  5. Step 5: Solve for x
    x = 107,717.53/335.96
  6. Step 6: Final answer
    x = 320.63

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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.