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Finding the Fourth Proportional to 705.77, 1,057.49 and 243.30

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Solution

The fourth proportional to 705.77, 1,057.49 and 243.30 is: 364.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.77 : 1,057.49 = 243.30 : x
  2. Step 2: Convert to fraction form
    705.77/1,057.49 = 243.30/x
  3. Step 3: Cross multiply
    705.77x = 1,057.49 × 243.30
  4. Step 4: Simplify right side
    705.77x = 257,287.32
  5. Step 5: Solve for x
    x = 257,287.32/705.77
  6. Step 6: Final answer
    x = 364.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.