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Finding the Fourth Proportional to 549.75, 824.99 and 207.75

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Solution

The fourth proportional to 549.75, 824.99 and 207.75 is: 311.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.75 : 824.99 = 207.75 : x
  2. Step 2: Convert to fraction form
    549.75/824.99 = 207.75/x
  3. Step 3: Cross multiply
    549.75x = 824.99 × 207.75
  4. Step 4: Simplify right side
    549.75x = 171,390.63
  5. Step 5: Solve for x
    x = 171,390.63/549.75
  6. Step 6: Final answer
    x = 311.76

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Similar ratio
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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.