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Finding the Fourth Proportional to 905.73, 1,358.10 and 320.69

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Solution

The fourth proportional to 905.73, 1,358.10 and 320.69 is: 480.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.73 : 1,358.10 = 320.69 : x
  2. Step 2: Convert to fraction form
    905.73/1,358.10 = 320.69/x
  3. Step 3: Cross multiply
    905.73x = 1,358.10 × 320.69
  4. Step 4: Simplify right side
    905.73x = 435,522.30
  5. Step 5: Solve for x
    x = 435,522.30/905.73
  6. Step 6: Final answer
    x = 480.85

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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.