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Finding the Fourth Proportional to 412.24, 568.88 and 225.73

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Solution

The fourth proportional to 412.24, 568.88 and 225.73 is: 311.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.24 : 568.88 = 225.73 : x
  2. Step 2: Convert to fraction form
    412.24/568.88 = 225.73/x
  3. Step 3: Cross multiply
    412.24x = 568.88 × 225.73
  4. Step 4: Simplify right side
    412.24x = 128,413.28
  5. Step 5: Solve for x
    x = 128,413.28/412.24
  6. Step 6: Final answer
    x = 311.50

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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.