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Finding the Fourth Proportional to 583.43, 874.59 and 218.12

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Solution

The fourth proportional to 583.43, 874.59 and 218.12 is: 326.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.43 : 874.59 = 218.12 : x
  2. Step 2: Convert to fraction form
    583.43/874.59 = 218.12/x
  3. Step 3: Cross multiply
    583.43x = 874.59 × 218.12
  4. Step 4: Simplify right side
    583.43x = 190,761.20
  5. Step 5: Solve for x
    x = 190,761.20/583.43
  6. Step 6: Final answer
    x = 326.97

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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.