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Finding the Fourth Proportional to 662.56, 914.02 and 426.40

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Solution

The fourth proportional to 662.56, 914.02 and 426.40 is: 588.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.56 : 914.02 = 426.40 : x
  2. Step 2: Convert to fraction form
    662.56/914.02 = 426.40/x
  3. Step 3: Cross multiply
    662.56x = 914.02 × 426.40
  4. Step 4: Simplify right side
    662.56x = 389,734.78
  5. Step 5: Solve for x
    x = 389,734.78/662.56
  6. Step 6: Final answer
    x = 588.23

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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.