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Finding the Fourth Proportional to 336.37, 463.17 and 287.14

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Solution

The fourth proportional to 336.37, 463.17 and 287.14 is: 395.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.37 : 463.17 = 287.14 : x
  2. Step 2: Convert to fraction form
    336.37/463.17 = 287.14/x
  3. Step 3: Cross multiply
    336.37x = 463.17 × 287.14
  4. Step 4: Simplify right side
    336.37x = 132,994.63
  5. Step 5: Solve for x
    x = 132,994.63/336.37
  6. Step 6: Final answer
    x = 395.38

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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.