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Finding the Fourth Proportional to 549.42, 758.22 and 363.24

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Solution

The fourth proportional to 549.42, 758.22 and 363.24 is: 501.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.42 : 758.22 = 363.24 : x
  2. Step 2: Convert to fraction form
    549.42/758.22 = 363.24/x
  3. Step 3: Cross multiply
    549.42x = 758.22 × 363.24
  4. Step 4: Simplify right side
    549.42x = 275,415.83
  5. Step 5: Solve for x
    x = 275,415.83/549.42
  6. Step 6: Final answer
    x = 501.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.