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Finding the Fourth Proportional to 663.06, 992.61 and 402.27

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Solution

The fourth proportional to 663.06, 992.61 and 402.27 is: 602.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.06 : 992.61 = 402.27 : x
  2. Step 2: Convert to fraction form
    663.06/992.61 = 402.27/x
  3. Step 3: Cross multiply
    663.06x = 992.61 × 402.27
  4. Step 4: Simplify right side
    663.06x = 399,297.22
  5. Step 5: Solve for x
    x = 399,297.22/663.06
  6. Step 6: Final answer
    x = 602.20

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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.