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Finding the Fourth Proportional to 549.84, 824.82 and 225.21

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Solution

The fourth proportional to 549.84, 824.82 and 225.21 is: 337.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.84 : 824.82 = 225.21 : x
  2. Step 2: Convert to fraction form
    549.84/824.82 = 225.21/x
  3. Step 3: Cross multiply
    549.84x = 824.82 × 225.21
  4. Step 4: Simplify right side
    549.84x = 185,757.71
  5. Step 5: Solve for x
    x = 185,757.71/549.84
  6. Step 6: Final answer
    x = 337.84

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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.