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Finding the Fourth Proportional to 604.67, 906.26 and 296.60

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Solution

The fourth proportional to 604.67, 906.26 and 296.60 is: 444.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.67 : 906.26 = 296.60 : x
  2. Step 2: Convert to fraction form
    604.67/906.26 = 296.60/x
  3. Step 3: Cross multiply
    604.67x = 906.26 × 296.60
  4. Step 4: Simplify right side
    604.67x = 268,790.70
  5. Step 5: Solve for x
    x = 268,790.70/604.67
  6. Step 6: Final answer
    x = 444.53

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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.