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Finding the Fourth Proportional to 905.15, 1,357.65 and 289.29

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Solution

The fourth proportional to 905.15, 1,357.65 and 289.29 is: 433.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.15 : 1,357.65 = 289.29 : x
  2. Step 2: Convert to fraction form
    905.15/1,357.65 = 289.29/x
  3. Step 3: Cross multiply
    905.15x = 1,357.65 × 289.29
  4. Step 4: Simplify right side
    905.15x = 392,754.57
  5. Step 5: Solve for x
    x = 392,754.57/905.15
  6. Step 6: Final answer
    x = 433.91

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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.