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Finding the Fourth Proportional to 927.39, 1,390.74 and 310.92

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Solution

The fourth proportional to 927.39, 1,390.74 and 310.92 is: 466.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.39 : 1,390.74 = 310.92 : x
  2. Step 2: Convert to fraction form
    927.39/1,390.74 = 310.92/x
  3. Step 3: Cross multiply
    927.39x = 1,390.74 × 310.92
  4. Step 4: Simplify right side
    927.39x = 432,408.88
  5. Step 5: Solve for x
    x = 432,408.88/927.39
  6. Step 6: Final answer
    x = 466.26

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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.