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Finding the Fourth Proportional to 705.48, 1,058.22 and 218.52

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Solution

The fourth proportional to 705.48, 1,058.22 and 218.52 is: 327.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.48 : 1,058.22 = 218.52 : x
  2. Step 2: Convert to fraction form
    705.48/1,058.22 = 218.52/x
  3. Step 3: Cross multiply
    705.48x = 1,058.22 × 218.52
  4. Step 4: Simplify right side
    705.48x = 231,242.23
  5. Step 5: Solve for x
    x = 231,242.23/705.48
  6. Step 6: Final answer
    x = 327.78

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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.