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Finding the Fourth Proportional to 662.14, 913.71 and 367.40

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Solution

The fourth proportional to 662.14, 913.71 and 367.40 is: 506.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.14 : 913.71 = 367.40 : x
  2. Step 2: Convert to fraction form
    662.14/913.71 = 367.40/x
  3. Step 3: Cross multiply
    662.14x = 913.71 × 367.40
  4. Step 4: Simplify right side
    662.14x = 335,700.72
  5. Step 5: Solve for x
    x = 335,700.72/662.14
  6. Step 6: Final answer
    x = 506.99

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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.