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Finding the Fourth Proportional to 549.42, 823.94 and 202.68

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Solution

The fourth proportional to 549.42, 823.94 and 202.68 is: 303.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.42 : 823.94 = 202.68 : x
  2. Step 2: Convert to fraction form
    549.42/823.94 = 202.68/x
  3. Step 3: Cross multiply
    549.42x = 823.94 × 202.68
  4. Step 4: Simplify right side
    549.42x = 166,996.16
  5. Step 5: Solve for x
    x = 166,996.16/549.42
  6. Step 6: Final answer
    x = 303.95

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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.