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Finding the Fourth Proportional to 583.83, 875.21 and 218.34

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Solution

The fourth proportional to 583.83, 875.21 and 218.34 is: 327.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.83 : 875.21 = 218.34 : x
  2. Step 2: Convert to fraction form
    583.83/875.21 = 218.34/x
  3. Step 3: Cross multiply
    583.83x = 875.21 × 218.34
  4. Step 4: Simplify right side
    583.83x = 191,092.26
  5. Step 5: Solve for x
    x = 191,092.26/583.83
  6. Step 6: Final answer
    x = 327.31

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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.