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Finding the Fourth Proportional to 659.01, 909 and 396.75

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Solution

The fourth proportional to 659.01, 909 and 396.75 is: 547.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.01 : 909 = 396.75 : x
  2. Step 2: Convert to fraction form
    659.01/909 = 396.75/x
  3. Step 3: Cross multiply
    659.01x = 909 × 396.75
  4. Step 4: Simplify right side
    659.01x = 360,645.75
  5. Step 5: Solve for x
    x = 360,645.75/659.01
  6. Step 6: Final answer
    x = 547.25

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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.