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Finding the Fourth Proportional to 548.69, 822.89 and 202.01

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Solution

The fourth proportional to 548.69, 822.89 and 202.01 is: 302.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.69 : 822.89 = 202.01 : x
  2. Step 2: Convert to fraction form
    548.69/822.89 = 202.01/x
  3. Step 3: Cross multiply
    548.69x = 822.89 × 202.01
  4. Step 4: Simplify right side
    548.69x = 166,226.88
  5. Step 5: Solve for x
    x = 166,226.88/548.69
  6. Step 6: Final answer
    x = 302.96

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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.