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Finding the Fourth Proportional to 662.23, 913.82 and 367.49

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Solution

The fourth proportional to 662.23, 913.82 and 367.49 is: 507.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.23 : 913.82 = 367.49 : x
  2. Step 2: Convert to fraction form
    662.23/913.82 = 367.49/x
  3. Step 3: Cross multiply
    662.23x = 913.82 × 367.49
  4. Step 4: Simplify right side
    662.23x = 335,819.71
  5. Step 5: Solve for x
    x = 335,819.71/662.23
  6. Step 6: Final answer
    x = 507.10

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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.