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Finding the Fourth Proportional to 465.13, 694.31 and 444.07

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Solution

The fourth proportional to 465.13, 694.31 and 444.07 is: 662.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.13 : 694.31 = 444.07 : x
  2. Step 2: Convert to fraction form
    465.13/694.31 = 444.07/x
  3. Step 3: Cross multiply
    465.13x = 694.31 × 444.07
  4. Step 4: Simplify right side
    465.13x = 308,322.24
  5. Step 5: Solve for x
    x = 308,322.24/465.13
  6. Step 6: Final answer
    x = 662.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.