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Finding the Fourth Proportional to 550.28, 821.64 and 535.70

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Solution

The fourth proportional to 550.28, 821.64 and 535.70 is: 799.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.28 : 821.64 = 535.70 : x
  2. Step 2: Convert to fraction form
    550.28/821.64 = 535.70/x
  3. Step 3: Cross multiply
    550.28x = 821.64 × 535.70
  4. Step 4: Simplify right side
    550.28x = 440,152.55
  5. Step 5: Solve for x
    x = 440,152.55/550.28
  6. Step 6: Final answer
    x = 799.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.