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Finding the Fourth Proportional to 601.26, 899.97 and 323.23

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Solution

The fourth proportional to 601.26, 899.97 and 323.23 is: 483.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.26 : 899.97 = 323.23 : x
  2. Step 2: Convert to fraction form
    601.26/899.97 = 323.23/x
  3. Step 3: Cross multiply
    601.26x = 899.97 × 323.23
  4. Step 4: Simplify right side
    601.26x = 290,897.30
  5. Step 5: Solve for x
    x = 290,897.30/601.26
  6. Step 6: Final answer
    x = 483.81

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