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Finding the Fourth Proportional to 583.20, 874.85 and 172.31

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Solution

The fourth proportional to 583.20, 874.85 and 172.31 is: 258.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.20 : 874.85 = 172.31 : x
  2. Step 2: Convert to fraction form
    583.20/874.85 = 172.31/x
  3. Step 3: Cross multiply
    583.20x = 874.85 × 172.31
  4. Step 4: Simplify right side
    583.20x = 150,740.17
  5. Step 5: Solve for x
    x = 150,740.17/583.20
  6. Step 6: Final answer
    x = 258.47

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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.