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Finding the Fourth Proportional to 584.98, 877.62 and 219.80

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Solution

The fourth proportional to 584.98, 877.62 and 219.80 is: 329.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.98 : 877.62 = 219.80 : x
  2. Step 2: Convert to fraction form
    584.98/877.62 = 219.80/x
  3. Step 3: Cross multiply
    584.98x = 877.62 × 219.80
  4. Step 4: Simplify right side
    584.98x = 192,900.88
  5. Step 5: Solve for x
    x = 192,900.88/584.98
  6. Step 6: Final answer
    x = 329.76

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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.