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Finding the Fourth Proportional to 358.60, 495.24 and 234.22

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Solution

The fourth proportional to 358.60, 495.24 and 234.22 is: 323.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.60 : 495.24 = 234.22 : x
  2. Step 2: Convert to fraction form
    358.60/495.24 = 234.22/x
  3. Step 3: Cross multiply
    358.60x = 495.24 × 234.22
  4. Step 4: Simplify right side
    358.60x = 115,993.19
  5. Step 5: Solve for x
    x = 115,993.19/358.60
  6. Step 6: Final answer
    x = 323.46

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Why These Related Problems?

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