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Finding the Fourth Proportional to 661.82, 913.37 and 367.15

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Solution

The fourth proportional to 661.82, 913.37 and 367.15 is: 506.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.82 : 913.37 = 367.15 : x
  2. Step 2: Convert to fraction form
    661.82/913.37 = 367.15/x
  3. Step 3: Cross multiply
    661.82x = 913.37 × 367.15
  4. Step 4: Simplify right side
    661.82x = 335,342.42
  5. Step 5: Solve for x
    x = 335,342.42/661.82
  6. Step 6: Final answer
    x = 506.70

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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.