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Finding the Fourth Proportional to 548.17, 822.45 and 353.27

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Solution

The fourth proportional to 548.17, 822.45 and 353.27 is: 530.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.17 : 822.45 = 353.27 : x
  2. Step 2: Convert to fraction form
    548.17/822.45 = 353.27/x
  3. Step 3: Cross multiply
    548.17x = 822.45 × 353.27
  4. Step 4: Simplify right side
    548.17x = 290,546.91
  5. Step 5: Solve for x
    x = 290,546.91/548.17
  6. Step 6: Final answer
    x = 530.03

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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.