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Finding the Fourth Proportional to 928.14, 1,391.93 and 311.67

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Solution

The fourth proportional to 928.14, 1,391.93 and 311.67 is: 467.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.14 : 1,391.93 = 311.67 : x
  2. Step 2: Convert to fraction form
    928.14/1,391.93 = 311.67/x
  3. Step 3: Cross multiply
    928.14x = 1,391.93 × 311.67
  4. Step 4: Simplify right side
    928.14x = 433,821.26
  5. Step 5: Solve for x
    x = 433,821.26/928.14
  6. Step 6: Final answer
    x = 467.41

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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.