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Finding the Fourth Proportional to 905.91, 1,359.05 and 289.46

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Solution

The fourth proportional to 905.91, 1,359.05 and 289.46 is: 434.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.91 : 1,359.05 = 289.46 : x
  2. Step 2: Convert to fraction form
    905.91/1,359.05 = 289.46/x
  3. Step 3: Cross multiply
    905.91x = 1,359.05 × 289.46
  4. Step 4: Simplify right side
    905.91x = 393,382.37
  5. Step 5: Solve for x
    x = 393,382.37/905.91
  6. Step 6: Final answer
    x = 434.24

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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.