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Finding the Fourth Proportional to 604.61, 906.35 and 296.73

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Solution

The fourth proportional to 604.61, 906.35 and 296.73 is: 444.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.61 : 906.35 = 296.73 : x
  2. Step 2: Convert to fraction form
    604.61/906.35 = 296.73/x
  3. Step 3: Cross multiply
    604.61x = 906.35 × 296.73
  4. Step 4: Simplify right side
    604.61x = 268,938.01
  5. Step 5: Solve for x
    x = 268,938.01/604.61
  6. Step 6: Final answer
    x = 444.81

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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.