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Finding the Fourth Proportional to 905.44, 1,358.35 and 289.19

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Solution

The fourth proportional to 905.44, 1,358.35 and 289.19 is: 433.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.44 : 1,358.35 = 289.19 : x
  2. Step 2: Convert to fraction form
    905.44/1,358.35 = 289.19/x
  3. Step 3: Cross multiply
    905.44x = 1,358.35 × 289.19
  4. Step 4: Simplify right side
    905.44x = 392,821.24
  5. Step 5: Solve for x
    x = 392,821.24/905.44
  6. Step 6: Final answer
    x = 433.85

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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.