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Finding the Fourth Proportional to 705.08, 1,057.72 and 236.39

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Solution

The fourth proportional to 705.08, 1,057.72 and 236.39 is: 354.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.08 : 1,057.72 = 236.39 : x
  2. Step 2: Convert to fraction form
    705.08/1,057.72 = 236.39/x
  3. Step 3: Cross multiply
    705.08x = 1,057.72 × 236.39
  4. Step 4: Simplify right side
    705.08x = 250,034.43
  5. Step 5: Solve for x
    x = 250,034.43/705.08
  6. Step 6: Final answer
    x = 354.62

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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.