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Finding the Fourth Proportional to 938.66, 1,408.05 and 322.80

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Solution

The fourth proportional to 938.66, 1,408.05 and 322.80 is: 484.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.66 : 1,408.05 = 322.80 : x
  2. Step 2: Convert to fraction form
    938.66/1,408.05 = 322.80/x
  3. Step 3: Cross multiply
    938.66x = 1,408.05 × 322.80
  4. Step 4: Simplify right side
    938.66x = 454,513.26
  5. Step 5: Solve for x
    x = 454,513.26/938.66
  6. Step 6: Final answer
    x = 484.22

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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.