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Finding the Fourth Proportional to 336.10, 463.84 and 286.96

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Solution

The fourth proportional to 336.10, 463.84 and 286.96 is: 396.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.10 : 463.84 = 286.96 : x
  2. Step 2: Convert to fraction form
    336.10/463.84 = 286.96/x
  3. Step 3: Cross multiply
    336.10x = 463.84 × 286.96
  4. Step 4: Simplify right side
    336.10x = 133,103.53
  5. Step 5: Solve for x
    x = 133,103.53/336.10
  6. Step 6: Final answer
    x = 396.02

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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.