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Finding the Fourth Proportional to 662.63, 914.44 and 379.08

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Solution

The fourth proportional to 662.63, 914.44 and 379.08 is: 523.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.63 : 914.44 = 379.08 : x
  2. Step 2: Convert to fraction form
    662.63/914.44 = 379.08/x
  3. Step 3: Cross multiply
    662.63x = 914.44 × 379.08
  4. Step 4: Simplify right side
    662.63x = 346,645.68
  5. Step 5: Solve for x
    x = 346,645.68/662.63
  6. Step 6: Final answer
    x = 523.14

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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.