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Finding the Fourth Proportional to 939.05, 1,408.98 and 323.19

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Solution

The fourth proportional to 939.05, 1,408.98 and 323.19 is: 484.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.05 : 1,408.98 = 323.19 : x
  2. Step 2: Convert to fraction form
    939.05/1,408.98 = 323.19/x
  3. Step 3: Cross multiply
    939.05x = 1,408.98 × 323.19
  4. Step 4: Simplify right side
    939.05x = 455,368.25
  5. Step 5: Solve for x
    x = 455,368.25/939.05
  6. Step 6: Final answer
    x = 484.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.