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Finding the Fourth Proportional to 583.64, 874.92 and 218.15

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Solution

The fourth proportional to 583.64, 874.92 and 218.15 is: 327.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.64 : 874.92 = 218.15 : x
  2. Step 2: Convert to fraction form
    583.64/874.92 = 218.15/x
  3. Step 3: Cross multiply
    583.64x = 874.92 × 218.15
  4. Step 4: Simplify right side
    583.64x = 190,866.80
  5. Step 5: Solve for x
    x = 190,866.80/583.64
  6. Step 6: Final answer
    x = 327.03

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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.