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Finding the Fourth Proportional to 705.33, 1,057.71 and 243.02

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Solution

The fourth proportional to 705.33, 1,057.71 and 243.02 is: 364.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.33 : 1,057.71 = 243.02 : x
  2. Step 2: Convert to fraction form
    705.33/1,057.71 = 243.02/x
  3. Step 3: Cross multiply
    705.33x = 1,057.71 × 243.02
  4. Step 4: Simplify right side
    705.33x = 257,044.68
  5. Step 5: Solve for x
    x = 257,044.68/705.33
  6. Step 6: Final answer
    x = 364.43

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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.