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Finding the Fourth Proportional to 705.08, 1,057.66 and 242.88

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Solution

The fourth proportional to 705.08, 1,057.66 and 242.88 is: 364.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.08 : 1,057.66 = 242.88 : x
  2. Step 2: Convert to fraction form
    705.08/1,057.66 = 242.88/x
  3. Step 3: Cross multiply
    705.08x = 1,057.66 × 242.88
  4. Step 4: Simplify right side
    705.08x = 256,884.46
  5. Step 5: Solve for x
    x = 256,884.46/705.08
  6. Step 6: Final answer
    x = 364.33

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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.