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Finding the Fourth Proportional to 367.19, 506.91 and 337.55

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Solution

The fourth proportional to 367.19, 506.91 and 337.55 is: 465.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.19 : 506.91 = 337.55 : x
  2. Step 2: Convert to fraction form
    367.19/506.91 = 337.55/x
  3. Step 3: Cross multiply
    367.19x = 506.91 × 337.55
  4. Step 4: Simplify right side
    367.19x = 171,106.20
  5. Step 5: Solve for x
    x = 171,106.20/367.19
  6. Step 6: Final answer
    x = 465.99

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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.