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Finding the Fourth Proportional to 367.13, 506.63 and 336.14

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Solution

The fourth proportional to 367.13, 506.63 and 336.14 is: 463.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.13 : 506.63 = 336.14 : x
  2. Step 2: Convert to fraction form
    367.13/506.63 = 336.14/x
  3. Step 3: Cross multiply
    367.13x = 506.63 × 336.14
  4. Step 4: Simplify right side
    367.13x = 170,300.72
  5. Step 5: Solve for x
    x = 170,300.72/367.13
  6. Step 6: Final answer
    x = 463.88

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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.