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Finding the Fourth Proportional to 548.57, 821.94 and 433.76

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Solution

The fourth proportional to 548.57, 821.94 and 433.76 is: 649.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.57 : 821.94 = 433.76 : x
  2. Step 2: Convert to fraction form
    548.57/821.94 = 433.76/x
  3. Step 3: Cross multiply
    548.57x = 821.94 × 433.76
  4. Step 4: Simplify right side
    548.57x = 356,524.69
  5. Step 5: Solve for x
    x = 356,524.69/548.57
  6. Step 6: Final answer
    x = 649.92

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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.