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Finding the Fourth Proportional to 367.56, 548.28 and 362.88

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Solution

The fourth proportional to 367.56, 548.28 and 362.88 is: 541.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.56 : 548.28 = 362.88 : x
  2. Step 2: Convert to fraction form
    367.56/548.28 = 362.88/x
  3. Step 3: Cross multiply
    367.56x = 548.28 × 362.88
  4. Step 4: Simplify right side
    367.56x = 198,959.85
  5. Step 5: Solve for x
    x = 198,959.85/367.56
  6. Step 6: Final answer
    x = 541.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.