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Finding the Fourth Proportional to 550.97, 826.53 and 258.77

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Solution

The fourth proportional to 550.97, 826.53 and 258.77 is: 388.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.97 : 826.53 = 258.77 : x
  2. Step 2: Convert to fraction form
    550.97/826.53 = 258.77/x
  3. Step 3: Cross multiply
    550.97x = 826.53 × 258.77
  4. Step 4: Simplify right side
    550.97x = 213,881.17
  5. Step 5: Solve for x
    x = 213,881.17/550.97
  6. Step 6: Final answer
    x = 388.19

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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.