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Finding the Fourth Proportional to 550.68, 826.50 and 294.36

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Solution

The fourth proportional to 550.68, 826.50 and 294.36 is: 441.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.68 : 826.50 = 294.36 : x
  2. Step 2: Convert to fraction form
    550.68/826.50 = 294.36/x
  3. Step 3: Cross multiply
    550.68x = 826.50 × 294.36
  4. Step 4: Simplify right side
    550.68x = 243,288.54
  5. Step 5: Solve for x
    x = 243,288.54/550.68
  6. Step 6: Final answer
    x = 441.80

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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.