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Finding the Fourth Proportional to 367.42, 506.45 and 337.25

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Solution

The fourth proportional to 367.42, 506.45 and 337.25 is: 464.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.42 : 506.45 = 337.25 : x
  2. Step 2: Convert to fraction form
    367.42/506.45 = 337.25/x
  3. Step 3: Cross multiply
    367.42x = 506.45 × 337.25
  4. Step 4: Simplify right side
    367.42x = 170,800.26
  5. Step 5: Solve for x
    x = 170,800.26/367.42
  6. Step 6: Final answer
    x = 464.86

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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.