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Finding the Fourth Proportional to 662.06, 913.70 and 367.43

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Solution

The fourth proportional to 662.06, 913.70 and 367.43 is: 507.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.06 : 913.70 = 367.43 : x
  2. Step 2: Convert to fraction form
    662.06/913.70 = 367.43/x
  3. Step 3: Cross multiply
    662.06x = 913.70 × 367.43
  4. Step 4: Simplify right side
    662.06x = 335,714.39
  5. Step 5: Solve for x
    x = 335,714.39/662.06
  6. Step 6: Final answer
    x = 507.08

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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.