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Finding the Fourth Proportional to 336.63, 463.50 and 295.14

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Solution

The fourth proportional to 336.63, 463.50 and 295.14 is: 406.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.63 : 463.50 = 295.14 : x
  2. Step 2: Convert to fraction form
    336.63/463.50 = 295.14/x
  3. Step 3: Cross multiply
    336.63x = 463.50 × 295.14
  4. Step 4: Simplify right side
    336.63x = 136,797.39
  5. Step 5: Solve for x
    x = 136,797.39/336.63
  6. Step 6: Final answer
    x = 406.37

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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.