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Finding the Fourth Proportional to 300.44, 413.70 and 256.68

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Solution

The fourth proportional to 300.44, 413.70 and 256.68 is: 353.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.44 : 413.70 = 256.68 : x
  2. Step 2: Convert to fraction form
    300.44/413.70 = 256.68/x
  3. Step 3: Cross multiply
    300.44x = 413.70 × 256.68
  4. Step 4: Simplify right side
    300.44x = 106,188.52
  5. Step 5: Solve for x
    x = 106,188.52/300.44
  6. Step 6: Final answer
    x = 353.44

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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.