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Finding the Fourth Proportional to 584.80, 877.25 and 219.49

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Solution

The fourth proportional to 584.80, 877.25 and 219.49 is: 329.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.80 : 877.25 = 219.49 : x
  2. Step 2: Convert to fraction form
    584.80/877.25 = 219.49/x
  3. Step 3: Cross multiply
    584.80x = 877.25 × 219.49
  4. Step 4: Simplify right side
    584.80x = 192,544.31
  5. Step 5: Solve for x
    x = 192,544.31/584.80
  6. Step 6: Final answer
    x = 329.25

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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.