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Finding the Fourth Proportional to 336.39, 463.86 and 266.34

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Solution

The fourth proportional to 336.39, 463.86 and 266.34 is: 367.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.39 : 463.86 = 266.34 : x
  2. Step 2: Convert to fraction form
    336.39/463.86 = 266.34/x
  3. Step 3: Cross multiply
    336.39x = 463.86 × 266.34
  4. Step 4: Simplify right side
    336.39x = 123,544.47
  5. Step 5: Solve for x
    x = 123,544.47/336.39
  6. Step 6: Final answer
    x = 367.27

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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.