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Finding the Fourth Proportional to 662.92, 914.76 and 426.52

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Solution

The fourth proportional to 662.92, 914.76 and 426.52 is: 588.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.92 : 914.76 = 426.52 : x
  2. Step 2: Convert to fraction form
    662.92/914.76 = 426.52/x
  3. Step 3: Cross multiply
    662.92x = 914.76 × 426.52
  4. Step 4: Simplify right side
    662.92x = 390,163.44
  5. Step 5: Solve for x
    x = 390,163.44/662.92
  6. Step 6: Final answer
    x = 588.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.