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Finding the Fourth Proportional to 549.92, 824.96 and 276.02

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Solution

The fourth proportional to 549.92, 824.96 and 276.02 is: 414.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.92 : 824.96 = 276.02 : x
  2. Step 2: Convert to fraction form
    549.92/824.96 = 276.02/x
  3. Step 3: Cross multiply
    549.92x = 824.96 × 276.02
  4. Step 4: Simplify right side
    549.92x = 227,705.46
  5. Step 5: Solve for x
    x = 227,705.46/549.92
  6. Step 6: Final answer
    x = 414.07

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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.