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Finding the Fourth Proportional to 659.26, 910.02 and 397.27

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Solution

The fourth proportional to 659.26, 910.02 and 397.27 is: 548.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.26 : 910.02 = 397.27 : x
  2. Step 2: Convert to fraction form
    659.26/910.02 = 397.27/x
  3. Step 3: Cross multiply
    659.26x = 910.02 × 397.27
  4. Step 4: Simplify right side
    659.26x = 361,523.65
  5. Step 5: Solve for x
    x = 361,523.65/659.26
  6. Step 6: Final answer
    x = 548.38

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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.