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Finding the Fourth Proportional to 583.49, 875.05 and 213.25

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Solution

The fourth proportional to 583.49, 875.05 and 213.25 is: 319.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.49 : 875.05 = 213.25 : x
  2. Step 2: Convert to fraction form
    583.49/875.05 = 213.25/x
  3. Step 3: Cross multiply
    583.49x = 875.05 × 213.25
  4. Step 4: Simplify right side
    583.49x = 186,601.69
  5. Step 5: Solve for x
    x = 186,601.69/583.49
  6. Step 6: Final answer
    x = 319.81

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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.