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Finding the Fourth Proportional to 909.43, 1,364.41 and 447.26

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Solution

The fourth proportional to 909.43, 1,364.41 and 447.26 is: 671.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.43 : 1,364.41 = 447.26 : x
  2. Step 2: Convert to fraction form
    909.43/1,364.41 = 447.26/x
  3. Step 3: Cross multiply
    909.43x = 1,364.41 × 447.26
  4. Step 4: Simplify right side
    909.43x = 610,239.75
  5. Step 5: Solve for x
    x = 610,239.75/909.43
  6. Step 6: Final answer
    x = 671.02

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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.