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Finding the Fourth Proportional to 583.99, 875.75 and 218.57

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Solution

The fourth proportional to 583.99, 875.75 and 218.57 is: 327.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.99 : 875.75 = 218.57 : x
  2. Step 2: Convert to fraction form
    583.99/875.75 = 218.57/x
  3. Step 3: Cross multiply
    583.99x = 875.75 × 218.57
  4. Step 4: Simplify right side
    583.99x = 191,407.21
  5. Step 5: Solve for x
    x = 191,407.21/583.99
  6. Step 6: Final answer
    x = 327.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.