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Finding the Fourth Proportional to 549.70, 824.54 and 220.78

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Solution

The fourth proportional to 549.70, 824.54 and 220.78 is: 331.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.70 : 824.54 = 220.78 : x
  2. Step 2: Convert to fraction form
    549.70/824.54 = 220.78/x
  3. Step 3: Cross multiply
    549.70x = 824.54 × 220.78
  4. Step 4: Simplify right side
    549.70x = 182,041.94
  5. Step 5: Solve for x
    x = 182,041.94/549.70
  6. Step 6: Final answer
    x = 331.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.