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Finding the Fourth Proportional to 322.48, 444.20 and 300.13

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Solution

The fourth proportional to 322.48, 444.20 and 300.13 is: 413.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.48 : 444.20 = 300.13 : x
  2. Step 2: Convert to fraction form
    322.48/444.20 = 300.13/x
  3. Step 3: Cross multiply
    322.48x = 444.20 × 300.13
  4. Step 4: Simplify right side
    322.48x = 133,318.32
  5. Step 5: Solve for x
    x = 133,318.32/322.48
  6. Step 6: Final answer
    x = 413.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.