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Finding the Fourth Proportional to 549.25, 756.77 and 362.43

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Solution

The fourth proportional to 549.25, 756.77 and 362.43 is: 499.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.25 : 756.77 = 362.43 : x
  2. Step 2: Convert to fraction form
    549.25/756.77 = 362.43/x
  3. Step 3: Cross multiply
    549.25x = 756.77 × 362.43
  4. Step 4: Simplify right side
    549.25x = 274,274.34
  5. Step 5: Solve for x
    x = 274,274.34/549.25
  6. Step 6: Final answer
    x = 499.36

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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.