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Finding the Fourth Proportional to 604.59, 906.98 and 219.75

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Solution

The fourth proportional to 604.59, 906.98 and 219.75 is: 329.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.59 : 906.98 = 219.75 : x
  2. Step 2: Convert to fraction form
    604.59/906.98 = 219.75/x
  3. Step 3: Cross multiply
    604.59x = 906.98 × 219.75
  4. Step 4: Simplify right side
    604.59x = 199,307.76
  5. Step 5: Solve for x
    x = 199,307.76/604.59
  6. Step 6: Final answer
    x = 329.66

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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.