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Finding the Fourth Proportional to 358.95, 494.67 and 287.97

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Solution

The fourth proportional to 358.95, 494.67 and 287.97 is: 396.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.95 : 494.67 = 287.97 : x
  2. Step 2: Convert to fraction form
    358.95/494.67 = 287.97/x
  3. Step 3: Cross multiply
    358.95x = 494.67 × 287.97
  4. Step 4: Simplify right side
    358.95x = 142,450.12
  5. Step 5: Solve for x
    x = 142,450.12/358.95
  6. Step 6: Final answer
    x = 396.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.