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Finding the Fourth Proportional to 661.78, 913.29 and 367.08

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Solution

The fourth proportional to 661.78, 913.29 and 367.08 is: 506.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.78 : 913.29 = 367.08 : x
  2. Step 2: Convert to fraction form
    661.78/913.29 = 367.08/x
  3. Step 3: Cross multiply
    661.78x = 913.29 × 367.08
  4. Step 4: Simplify right side
    661.78x = 335,250.49
  5. Step 5: Solve for x
    x = 335,250.49/661.78
  6. Step 6: Final answer
    x = 506.59

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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.