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Finding the Fourth Proportional to 662.38, 914.08 and 367.69

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Solution

The fourth proportional to 662.38, 914.08 and 367.69 is: 507.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.38 : 914.08 = 367.69 : x
  2. Step 2: Convert to fraction form
    662.38/914.08 = 367.69/x
  3. Step 3: Cross multiply
    662.38x = 914.08 × 367.69
  4. Step 4: Simplify right side
    662.38x = 336,098.08
  5. Step 5: Solve for x
    x = 336,098.08/662.38
  6. Step 6: Final answer
    x = 507.41

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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.