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Finding the Fourth Proportional to 661.75, 913.26 and 367.09

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Solution

The fourth proportional to 661.75, 913.26 and 367.09 is: 506.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.75 : 913.26 = 367.09 : x
  2. Step 2: Convert to fraction form
    661.75/913.26 = 367.09/x
  3. Step 3: Cross multiply
    661.75x = 913.26 × 367.09
  4. Step 4: Simplify right side
    661.75x = 335,248.61
  5. Step 5: Solve for x
    x = 335,248.61/661.75
  6. Step 6: Final answer
    x = 506.61

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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.