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Finding the Fourth Proportional to 583.24, 874.78 and 172.42

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Solution

The fourth proportional to 583.24, 874.78 and 172.42 is: 258.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.24 : 874.78 = 172.42 : x
  2. Step 2: Convert to fraction form
    583.24/874.78 = 172.42/x
  3. Step 3: Cross multiply
    583.24x = 874.78 × 172.42
  4. Step 4: Simplify right side
    583.24x = 150,824.33
  5. Step 5: Solve for x
    x = 150,824.33/583.24
  6. Step 6: Final answer
    x = 258.60

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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.