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Finding the Fourth Proportional to 604.60, 906.59 and 295.99

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Solution

The fourth proportional to 604.60, 906.59 and 295.99 is: 443.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.60 : 906.59 = 295.99 : x
  2. Step 2: Convert to fraction form
    604.60/906.59 = 295.99/x
  3. Step 3: Cross multiply
    604.60x = 906.59 × 295.99
  4. Step 4: Simplify right side
    604.60x = 268,341.57
  5. Step 5: Solve for x
    x = 268,341.57/604.60
  6. Step 6: Final answer
    x = 443.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.