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Finding the Fourth Proportional to 662.87, 913.92 and 426.40

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Solution

The fourth proportional to 662.87, 913.92 and 426.40 is: 587.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.87 : 913.92 = 426.40 : x
  2. Step 2: Convert to fraction form
    662.87/913.92 = 426.40/x
  3. Step 3: Cross multiply
    662.87x = 913.92 × 426.40
  4. Step 4: Simplify right side
    662.87x = 389,690.92
  5. Step 5: Solve for x
    x = 389,690.92/662.87
  6. Step 6: Final answer
    x = 587.89

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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.