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Finding the Fourth Proportional to 914.72, 1,372.28 and 329.76

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Solution

The fourth proportional to 914.72, 1,372.28 and 329.76 is: 494.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.72 : 1,372.28 = 329.76 : x
  2. Step 2: Convert to fraction form
    914.72/1,372.28 = 329.76/x
  3. Step 3: Cross multiply
    914.72x = 1,372.28 × 329.76
  4. Step 4: Simplify right side
    914.72x = 452,523.05
  5. Step 5: Solve for x
    x = 452,523.05/914.72
  6. Step 6: Final answer
    x = 494.71

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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.