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Finding the Fourth Proportional to 663.11, 992.71 and 490.56

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Solution

The fourth proportional to 663.11, 992.71 and 490.56 is: 734.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.11 : 992.71 = 490.56 : x
  2. Step 2: Convert to fraction form
    663.11/992.71 = 490.56/x
  3. Step 3: Cross multiply
    663.11x = 992.71 × 490.56
  4. Step 4: Simplify right side
    663.11x = 486,980.71
  5. Step 5: Solve for x
    x = 486,980.71/663.11
  6. Step 6: Final answer
    x = 734.39

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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.