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Finding the Fourth Proportional to 550.56, 824.96 and 261.76

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Solution

The fourth proportional to 550.56, 824.96 and 261.76 is: 392.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.56 : 824.96 = 261.76 : x
  2. Step 2: Convert to fraction form
    550.56/824.96 = 261.76/x
  3. Step 3: Cross multiply
    550.56x = 824.96 × 261.76
  4. Step 4: Simplify right side
    550.56x = 215,941.53
  5. Step 5: Solve for x
    x = 215,941.53/550.56
  6. Step 6: Final answer
    x = 392.22

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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.