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Finding the Fourth Proportional to 914.86, 1,372.43 and 329.88

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Solution

The fourth proportional to 914.86, 1,372.43 and 329.88 is: 494.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.86 : 1,372.43 = 329.88 : x
  2. Step 2: Convert to fraction form
    914.86/1,372.43 = 329.88/x
  3. Step 3: Cross multiply
    914.86x = 1,372.43 × 329.88
  4. Step 4: Simplify right side
    914.86x = 452,737.21
  5. Step 5: Solve for x
    x = 452,737.21/914.86
  6. Step 6: Final answer
    x = 494.87

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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.