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Finding the Fourth Proportional to 367.11, 549.63 and 293.61

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Solution

The fourth proportional to 367.11, 549.63 and 293.61 is: 439.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.11 : 549.63 = 293.61 : x
  2. Step 2: Convert to fraction form
    367.11/549.63 = 293.61/x
  3. Step 3: Cross multiply
    367.11x = 549.63 × 293.61
  4. Step 4: Simplify right side
    367.11x = 161,376.86
  5. Step 5: Solve for x
    x = 161,376.86/367.11
  6. Step 6: Final answer
    x = 439.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.