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Finding the Fourth Proportional to 583.14, 874.16 and 217.82

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Solution

The fourth proportional to 583.14, 874.16 and 217.82 is: 326.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.14 : 874.16 = 217.82 : x
  2. Step 2: Convert to fraction form
    583.14/874.16 = 217.82/x
  3. Step 3: Cross multiply
    583.14x = 874.16 × 217.82
  4. Step 4: Simplify right side
    583.14x = 190,409.53
  5. Step 5: Solve for x
    x = 190,409.53/583.14
  6. Step 6: Final answer
    x = 326.52

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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.