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Finding the Fourth Proportional to 367.12, 506.28 and 293.68

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Solution

The fourth proportional to 367.12, 506.28 and 293.68 is: 405.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.12 : 506.28 = 293.68 : x
  2. Step 2: Convert to fraction form
    367.12/506.28 = 293.68/x
  3. Step 3: Cross multiply
    367.12x = 506.28 × 293.68
  4. Step 4: Simplify right side
    367.12x = 148,684.31
  5. Step 5: Solve for x
    x = 148,684.31/367.12
  6. Step 6: Final answer
    x = 405.00

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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.