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Finding the Fourth Proportional to 583.26, 874.40 and 409.42

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Solution

The fourth proportional to 583.26, 874.40 and 409.42 is: 613.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.26 : 874.40 = 409.42 : x
  2. Step 2: Convert to fraction form
    583.26/874.40 = 409.42/x
  3. Step 3: Cross multiply
    583.26x = 874.40 × 409.42
  4. Step 4: Simplify right side
    583.26x = 357,996.85
  5. Step 5: Solve for x
    x = 357,996.85/583.26
  6. Step 6: Final answer
    x = 613.79

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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.