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Finding the Fourth Proportional to 583.15, 874.52 and 172.18

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Solution

The fourth proportional to 583.15, 874.52 and 172.18 is: 258.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.15 : 874.52 = 172.18 : x
  2. Step 2: Convert to fraction form
    583.15/874.52 = 172.18/x
  3. Step 3: Cross multiply
    583.15x = 874.52 × 172.18
  4. Step 4: Simplify right side
    583.15x = 150,571.30
  5. Step 5: Solve for x
    x = 150,571.30/583.15
  6. Step 6: Final answer
    x = 258.20

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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.