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Finding the Fourth Proportional to 550.86, 826.23 and 368.37

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Solution

The fourth proportional to 550.86, 826.23 and 368.37 is: 552.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.86 : 826.23 = 368.37 : x
  2. Step 2: Convert to fraction form
    550.86/826.23 = 368.37/x
  3. Step 3: Cross multiply
    550.86x = 826.23 × 368.37
  4. Step 4: Simplify right side
    550.86x = 304,358.35
  5. Step 5: Solve for x
    x = 304,358.35/550.86
  6. Step 6: Final answer
    x = 552.51

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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.