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Finding the Fourth Proportional to 662.83, 914.61 and 382.96

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Solution

The fourth proportional to 662.83, 914.61 and 382.96 is: 528.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.83 : 914.61 = 382.96 : x
  2. Step 2: Convert to fraction form
    662.83/914.61 = 382.96/x
  3. Step 3: Cross multiply
    662.83x = 914.61 × 382.96
  4. Step 4: Simplify right side
    662.83x = 350,259.05
  5. Step 5: Solve for x
    x = 350,259.05/662.83
  6. Step 6: Final answer
    x = 528.43

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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.