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Finding the Fourth Proportional to 662.39, 992.26 and 402.24

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Solution

The fourth proportional to 662.39, 992.26 and 402.24 is: 602.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.39 : 992.26 = 402.24 : x
  2. Step 2: Convert to fraction form
    662.39/992.26 = 402.24/x
  3. Step 3: Cross multiply
    662.39x = 992.26 × 402.24
  4. Step 4: Simplify right side
    662.39x = 399,126.66
  5. Step 5: Solve for x
    x = 399,126.66/662.39
  6. Step 6: Final answer
    x = 602.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.