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Finding the Fourth Proportional to 367.04, 506.26 and 234.08

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Solution

The fourth proportional to 367.04, 506.26 and 234.08 is: 322.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.04 : 506.26 = 234.08 : x
  2. Step 2: Convert to fraction form
    367.04/506.26 = 234.08/x
  3. Step 3: Cross multiply
    367.04x = 506.26 × 234.08
  4. Step 4: Simplify right side
    367.04x = 118,505.34
  5. Step 5: Solve for x
    x = 118,505.34/367.04
  6. Step 6: Final answer
    x = 322.87

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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.