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Finding the Fourth Proportional to 583.26, 874.62 and 217.80

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Solution

The fourth proportional to 583.26, 874.62 and 217.80 is: 326.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.26 : 874.62 = 217.80 : x
  2. Step 2: Convert to fraction form
    583.26/874.62 = 217.80/x
  3. Step 3: Cross multiply
    583.26x = 874.62 × 217.80
  4. Step 4: Simplify right side
    583.26x = 190,492.24
  5. Step 5: Solve for x
    x = 190,492.24/583.26
  6. Step 6: Final answer
    x = 326.60

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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.