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Finding the Fourth Proportional to 500.00, 689.87 and 322.97

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Solution

The fourth proportional to 500.00, 689.87 and 322.97 is: 445.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.00 : 689.87 = 322.97 : x
  2. Step 2: Convert to fraction form
    500.00/689.87 = 322.97/x
  3. Step 3: Cross multiply
    500.00x = 689.87 × 322.97
  4. Step 4: Simplify right side
    500.00x = 222,806.56
  5. Step 5: Solve for x
    x = 222,806.56/500.00
  6. Step 6: Final answer
    x = 445.61

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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.