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Finding the Fourth Proportional to 367.69, 507.31 and 293.79

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Solution

The fourth proportional to 367.69, 507.31 and 293.79 is: 405.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.69 : 507.31 = 293.79 : x
  2. Step 2: Convert to fraction form
    367.69/507.31 = 293.79/x
  3. Step 3: Cross multiply
    367.69x = 507.31 × 293.79
  4. Step 4: Simplify right side
    367.69x = 149,042.60
  5. Step 5: Solve for x
    x = 149,042.60/367.69
  6. Step 6: Final answer
    x = 405.35

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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.