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Finding the Fourth Proportional to 367.12, 548.57 and 360.28

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Solution

The fourth proportional to 367.12, 548.57 and 360.28 is: 538.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.12 : 548.57 = 360.28 : x
  2. Step 2: Convert to fraction form
    367.12/548.57 = 360.28/x
  3. Step 3: Cross multiply
    367.12x = 548.57 × 360.28
  4. Step 4: Simplify right side
    367.12x = 197,638.80
  5. Step 5: Solve for x
    x = 197,638.80/367.12
  6. Step 6: Final answer
    x = 538.35

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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.