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Finding the Fourth Proportional to 549.74, 824.67 and 203.24

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Solution

The fourth proportional to 549.74, 824.67 and 203.24 is: 304.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.74 : 824.67 = 203.24 : x
  2. Step 2: Convert to fraction form
    549.74/824.67 = 203.24/x
  3. Step 3: Cross multiply
    549.74x = 824.67 × 203.24
  4. Step 4: Simplify right side
    549.74x = 167,601.81
  5. Step 5: Solve for x
    x = 167,601.81/549.74
  6. Step 6: Final answer
    x = 304.88

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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.