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Finding the Fourth Proportional to 335.91, 463.68 and 262.74

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Solution

The fourth proportional to 335.91, 463.68 and 262.74 is: 362.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.91 : 463.68 = 262.74 : x
  2. Step 2: Convert to fraction form
    335.91/463.68 = 262.74/x
  3. Step 3: Cross multiply
    335.91x = 463.68 × 262.74
  4. Step 4: Simplify right side
    335.91x = 121,827.28
  5. Step 5: Solve for x
    x = 121,827.28/335.91
  6. Step 6: Final answer
    x = 362.68

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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.