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Finding the Fourth Proportional to 334.35, 500.80 and 275.92

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Solution

The fourth proportional to 334.35, 500.80 and 275.92 is: 413.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.35 : 500.80 = 275.92 : x
  2. Step 2: Convert to fraction form
    334.35/500.80 = 275.92/x
  3. Step 3: Cross multiply
    334.35x = 500.80 × 275.92
  4. Step 4: Simplify right side
    334.35x = 138,180.74
  5. Step 5: Solve for x
    x = 138,180.74/334.35
  6. Step 6: Final answer
    x = 413.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.