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Finding the Fourth Proportional to 939.44, 1,408.16 and 314.58

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Solution

The fourth proportional to 939.44, 1,408.16 and 314.58 is: 471.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.44 : 1,408.16 = 314.58 : x
  2. Step 2: Convert to fraction form
    939.44/1,408.16 = 314.58/x
  3. Step 3: Cross multiply
    939.44x = 1,408.16 × 314.58
  4. Step 4: Simplify right side
    939.44x = 442,971.93
  5. Step 5: Solve for x
    x = 442,971.93/939.44
  6. Step 6: Final answer
    x = 471.53

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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.