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Finding the Fourth Proportional to 444.23, 664.68 and 399.32

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Solution

The fourth proportional to 444.23, 664.68 and 399.32 is: 597.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.23 : 664.68 = 399.32 : x
  2. Step 2: Convert to fraction form
    444.23/664.68 = 399.32/x
  3. Step 3: Cross multiply
    444.23x = 664.68 × 399.32
  4. Step 4: Simplify right side
    444.23x = 265,420.02
  5. Step 5: Solve for x
    x = 265,420.02/444.23
  6. Step 6: Final answer
    x = 597.48

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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.