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Finding the Fourth Proportional to 926.73, 1,390.11 and 310.44

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Solution

The fourth proportional to 926.73, 1,390.11 and 310.44 is: 465.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.73 : 1,390.11 = 310.44 : x
  2. Step 2: Convert to fraction form
    926.73/1,390.11 = 310.44/x
  3. Step 3: Cross multiply
    926.73x = 1,390.11 × 310.44
  4. Step 4: Simplify right side
    926.73x = 431,545.75
  5. Step 5: Solve for x
    x = 431,545.75/926.73
  6. Step 6: Final answer
    x = 465.67

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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.