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Finding the Fourth Proportional to 906.74, 1,359.42 and 358.82

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Solution

The fourth proportional to 906.74, 1,359.42 and 358.82 is: 537.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.74 : 1,359.42 = 358.82 : x
  2. Step 2: Convert to fraction form
    906.74/1,359.42 = 358.82/x
  3. Step 3: Cross multiply
    906.74x = 1,359.42 × 358.82
  4. Step 4: Simplify right side
    906.74x = 487,787.08
  5. Step 5: Solve for x
    x = 487,787.08/906.74
  6. Step 6: Final answer
    x = 537.96

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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.