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Finding the Fourth Proportional to 583.97, 875.66 and 213.66

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Solution

The fourth proportional to 583.97, 875.66 and 213.66 is: 320.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.97 : 875.66 = 213.66 : x
  2. Step 2: Convert to fraction form
    583.97/875.66 = 213.66/x
  3. Step 3: Cross multiply
    583.97x = 875.66 × 213.66
  4. Step 4: Simplify right side
    583.97x = 187,092.45
  5. Step 5: Solve for x
    x = 187,092.45/583.97
  6. Step 6: Final answer
    x = 320.38

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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.