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Finding the Fourth Proportional to 659.80, 910.02 and 426.52

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Solution

The fourth proportional to 659.80, 910.02 and 426.52 is: 588.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.80 : 910.02 = 426.52 : x
  2. Step 2: Convert to fraction form
    659.80/910.02 = 426.52/x
  3. Step 3: Cross multiply
    659.80x = 910.02 × 426.52
  4. Step 4: Simplify right side
    659.80x = 388,141.73
  5. Step 5: Solve for x
    x = 388,141.73/659.80
  6. Step 6: Final answer
    x = 588.27

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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.