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Finding the Fourth Proportional to 928.06, 1,392.23 and 342.97

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Solution

The fourth proportional to 928.06, 1,392.23 and 342.97 is: 514.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.06 : 1,392.23 = 342.97 : x
  2. Step 2: Convert to fraction form
    928.06/1,392.23 = 342.97/x
  3. Step 3: Cross multiply
    928.06x = 1,392.23 × 342.97
  4. Step 4: Simplify right side
    928.06x = 477,493.12
  5. Step 5: Solve for x
    x = 477,493.12/928.06
  6. Step 6: Final answer
    x = 514.51

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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.