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Finding the Fourth Proportional to 661.89, 913.46 and 367.25

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Solution

The fourth proportional to 661.89, 913.46 and 367.25 is: 506.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.89 : 913.46 = 367.25 : x
  2. Step 2: Convert to fraction form
    661.89/913.46 = 367.25/x
  3. Step 3: Cross multiply
    661.89x = 913.46 × 367.25
  4. Step 4: Simplify right side
    661.89x = 335,468.19
  5. Step 5: Solve for x
    x = 335,468.19/661.89
  6. Step 6: Final answer
    x = 506.83

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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.