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Finding the Fourth Proportional to 548.80, 821.55 and 426.52

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Solution

The fourth proportional to 548.80, 821.55 and 426.52 is: 638.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.80 : 821.55 = 426.52 : x
  2. Step 2: Convert to fraction form
    548.80/821.55 = 426.52/x
  3. Step 3: Cross multiply
    548.80x = 821.55 × 426.52
  4. Step 4: Simplify right side
    548.80x = 350,407.51
  5. Step 5: Solve for x
    x = 350,407.51/548.80
  6. Step 6: Final answer
    x = 638.50

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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.