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Finding the Fourth Proportional to 659.44, 910.07 and 397.54

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Solution

The fourth proportional to 659.44, 910.07 and 397.54 is: 548.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.44 : 910.07 = 397.54 : x
  2. Step 2: Convert to fraction form
    659.44/910.07 = 397.54/x
  3. Step 3: Cross multiply
    659.44x = 910.07 × 397.54
  4. Step 4: Simplify right side
    659.44x = 361,789.23
  5. Step 5: Solve for x
    x = 361,789.23/659.44
  6. Step 6: Final answer
    x = 548.63

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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.