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Finding the Fourth Proportional to 583.56, 874.50 and 309.78

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Solution

The fourth proportional to 583.56, 874.50 and 309.78 is: 464.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.56 : 874.50 = 309.78 : x
  2. Step 2: Convert to fraction form
    583.56/874.50 = 309.78/x
  3. Step 3: Cross multiply
    583.56x = 874.50 × 309.78
  4. Step 4: Simplify right side
    583.56x = 270,902.61
  5. Step 5: Solve for x
    x = 270,902.61/583.56
  6. Step 6: Final answer
    x = 464.22

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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.