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Finding the Fourth Proportional to 583.14, 874.26 and 397.56

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Solution

The fourth proportional to 583.14, 874.26 and 397.56 is: 596.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.14 : 874.26 = 397.56 : x
  2. Step 2: Convert to fraction form
    583.14/874.26 = 397.56/x
  3. Step 3: Cross multiply
    583.14x = 874.26 × 397.56
  4. Step 4: Simplify right side
    583.14x = 347,570.81
  5. Step 5: Solve for x
    x = 347,570.81/583.14
  6. Step 6: Final answer
    x = 596.03

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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.