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Finding the Fourth Proportional to 906.18, 1,359.47 and 289.94

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Solution

The fourth proportional to 906.18, 1,359.47 and 289.94 is: 434.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.18 : 1,359.47 = 289.94 : x
  2. Step 2: Convert to fraction form
    906.18/1,359.47 = 289.94/x
  3. Step 3: Cross multiply
    906.18x = 1,359.47 × 289.94
  4. Step 4: Simplify right side
    906.18x = 394,158.66
  5. Step 5: Solve for x
    x = 394,158.66/906.18
  6. Step 6: Final answer
    x = 434.97

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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.