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Finding the Fourth Proportional to 548.02, 820.16 and 426.83

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Solution

The fourth proportional to 548.02, 820.16 and 426.83 is: 638.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.02 : 820.16 = 426.83 : x
  2. Step 2: Convert to fraction form
    548.02/820.16 = 426.83/x
  3. Step 3: Cross multiply
    548.02x = 820.16 × 426.83
  4. Step 4: Simplify right side
    548.02x = 350,066.76
  5. Step 5: Solve for x
    x = 350,066.76/548.02
  6. Step 6: Final answer
    x = 638.79

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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.