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Finding the Fourth Proportional to 928.15, 1,392.24 and 311.86

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Solution

The fourth proportional to 928.15, 1,392.24 and 311.86 is: 467.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.15 : 1,392.24 = 311.86 : x
  2. Step 2: Convert to fraction form
    928.15/1,392.24 = 311.86/x
  3. Step 3: Cross multiply
    928.15x = 1,392.24 × 311.86
  4. Step 4: Simplify right side
    928.15x = 434,186.88
  5. Step 5: Solve for x
    x = 434,186.88/928.15
  6. Step 6: Final answer
    x = 467.80

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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.