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Finding the Fourth Proportional to 334.22, 501.39 and 275.73

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Solution

The fourth proportional to 334.22, 501.39 and 275.73 is: 413.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.22 : 501.39 = 275.73 : x
  2. Step 2: Convert to fraction form
    334.22/501.39 = 275.73/x
  3. Step 3: Cross multiply
    334.22x = 501.39 × 275.73
  4. Step 4: Simplify right side
    334.22x = 138,248.26
  5. Step 5: Solve for x
    x = 138,248.26/334.22
  6. Step 6: Final answer
    x = 413.65

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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.