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Finding the Fourth Proportional to 329.76, 494.64 and 275.49

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Solution

The fourth proportional to 329.76, 494.64 and 275.49 is: 413.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.76 : 494.64 = 275.49 : x
  2. Step 2: Convert to fraction form
    329.76/494.64 = 275.49/x
  3. Step 3: Cross multiply
    329.76x = 494.64 × 275.49
  4. Step 4: Simplify right side
    329.76x = 136,268.37
  5. Step 5: Solve for x
    x = 136,268.37/329.76
  6. Step 6: Final answer
    x = 413.24

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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.