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Finding the Fourth Proportional to 367.02, 549.46 and 274.88

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Solution

The fourth proportional to 367.02, 549.46 and 274.88 is: 411.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.02 : 549.46 = 274.88 : x
  2. Step 2: Convert to fraction form
    367.02/549.46 = 274.88/x
  3. Step 3: Cross multiply
    367.02x = 549.46 × 274.88
  4. Step 4: Simplify right side
    367.02x = 151,035.56
  5. Step 5: Solve for x
    x = 151,035.56/367.02
  6. Step 6: Final answer
    x = 411.52

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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.