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Finding the Fourth Proportional to 358.59, 494.05 and 325.83

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Solution

The fourth proportional to 358.59, 494.05 and 325.83 is: 448.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.59 : 494.05 = 325.83 : x
  2. Step 2: Convert to fraction form
    358.59/494.05 = 325.83/x
  3. Step 3: Cross multiply
    358.59x = 494.05 × 325.83
  4. Step 4: Simplify right side
    358.59x = 160,976.31
  5. Step 5: Solve for x
    x = 160,976.31/358.59
  6. Step 6: Final answer
    x = 448.91

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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.