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Finding the Fourth Proportional to 594.56, 892.56 and 413.12

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Solution

The fourth proportional to 594.56, 892.56 and 413.12 is: 620.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.56 : 892.56 = 413.12 : x
  2. Step 2: Convert to fraction form
    594.56/892.56 = 413.12/x
  3. Step 3: Cross multiply
    594.56x = 892.56 × 413.12
  4. Step 4: Simplify right side
    594.56x = 368,734.39
  5. Step 5: Solve for x
    x = 368,734.39/594.56
  6. Step 6: Final answer
    x = 620.18

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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.