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Finding the Fourth Proportional to 584.40, 876.66 and 219.09

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Solution

The fourth proportional to 584.40, 876.66 and 219.09 is: 328.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.40 : 876.66 = 219.09 : x
  2. Step 2: Convert to fraction form
    584.40/876.66 = 219.09/x
  3. Step 3: Cross multiply
    584.40x = 876.66 × 219.09
  4. Step 4: Simplify right side
    584.40x = 192,067.44
  5. Step 5: Solve for x
    x = 192,067.44/584.40
  6. Step 6: Final answer
    x = 328.66

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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.