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Finding the Fourth Proportional to 585.26, 878.04 and 219.84

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Solution

The fourth proportional to 585.26, 878.04 and 219.84 is: 329.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.26 : 878.04 = 219.84 : x
  2. Step 2: Convert to fraction form
    585.26/878.04 = 219.84/x
  3. Step 3: Cross multiply
    585.26x = 878.04 × 219.84
  4. Step 4: Simplify right side
    585.26x = 193,028.31
  5. Step 5: Solve for x
    x = 193,028.31/585.26
  6. Step 6: Final answer
    x = 329.82

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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.