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Finding the Fourth Proportional to 565.12, 843.60 and 492.22

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Solution

The fourth proportional to 565.12, 843.60 and 492.22 is: 734.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.12 : 843.60 = 492.22 : x
  2. Step 2: Convert to fraction form
    565.12/843.60 = 492.22/x
  3. Step 3: Cross multiply
    565.12x = 843.60 × 492.22
  4. Step 4: Simplify right side
    565.12x = 415,236.79
  5. Step 5: Solve for x
    x = 415,236.79/565.12
  6. Step 6: Final answer
    x = 734.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.