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Finding the Fourth Proportional to 367.40, 506.20 and 304.88

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Solution

The fourth proportional to 367.40, 506.20 and 304.88 is: 420.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.40 : 506.20 = 304.88 : x
  2. Step 2: Convert to fraction form
    367.40/506.20 = 304.88/x
  3. Step 3: Cross multiply
    367.40x = 506.20 × 304.88
  4. Step 4: Simplify right side
    367.40x = 154,330.26
  5. Step 5: Solve for x
    x = 154,330.26/367.40
  6. Step 6: Final answer
    x = 420.06

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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.