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Finding the Fourth Proportional to 367.35, 549.04 and 338.16

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Solution

The fourth proportional to 367.35, 549.04 and 338.16 is: 505.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.35 : 549.04 = 338.16 : x
  2. Step 2: Convert to fraction form
    367.35/549.04 = 338.16/x
  3. Step 3: Cross multiply
    367.35x = 549.04 × 338.16
  4. Step 4: Simplify right side
    367.35x = 185,663.37
  5. Step 5: Solve for x
    x = 185,663.37/367.35
  6. Step 6: Final answer
    x = 505.41

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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.