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Finding the Fourth Proportional to 583.48, 874.92 and 172.56

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Solution

The fourth proportional to 583.48, 874.92 and 172.56 is: 258.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.48 : 874.92 = 172.56 : x
  2. Step 2: Convert to fraction form
    583.48/874.92 = 172.56/x
  3. Step 3: Cross multiply
    583.48x = 874.92 × 172.56
  4. Step 4: Simplify right side
    583.48x = 150,980.12
  5. Step 5: Solve for x
    x = 150,980.12/583.48
  6. Step 6: Final answer
    x = 258.76

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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.