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Finding the Fourth Proportional to 563.96, 845.94 and 275.44

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Solution

The fourth proportional to 563.96, 845.94 and 275.44 is: 413.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.96 : 845.94 = 275.44 : x
  2. Step 2: Convert to fraction form
    563.96/845.94 = 275.44/x
  3. Step 3: Cross multiply
    563.96x = 845.94 × 275.44
  4. Step 4: Simplify right side
    563.96x = 233,005.71
  5. Step 5: Solve for x
    x = 233,005.71/563.96
  6. Step 6: Final answer
    x = 413.16

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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.