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Finding the Fourth Proportional to 549.98, 824.12 and 366.71

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Solution

The fourth proportional to 549.98, 824.12 and 366.71 is: 549.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.98 : 824.12 = 366.71 : x
  2. Step 2: Convert to fraction form
    549.98/824.12 = 366.71/x
  3. Step 3: Cross multiply
    549.98x = 824.12 × 366.71
  4. Step 4: Simplify right side
    549.98x = 302,207.09
  5. Step 5: Solve for x
    x = 302,207.09/549.98
  6. Step 6: Final answer
    x = 549.49

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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.