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Finding the Fourth Proportional to 550.96, 760.56 and 354.48

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Solution

The fourth proportional to 550.96, 760.56 and 354.48 is: 489.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.96 : 760.56 = 354.48 : x
  2. Step 2: Convert to fraction form
    550.96/760.56 = 354.48/x
  3. Step 3: Cross multiply
    550.96x = 760.56 × 354.48
  4. Step 4: Simplify right side
    550.96x = 269,603.31
  5. Step 5: Solve for x
    x = 269,603.31/550.96
  6. Step 6: Final answer
    x = 489.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.