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Finding the Fourth Proportional to 358.62, 495.01 and 234.06

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Solution

The fourth proportional to 358.62, 495.01 and 234.06 is: 323.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.62 : 495.01 = 234.06 : x
  2. Step 2: Convert to fraction form
    358.62/495.01 = 234.06/x
  3. Step 3: Cross multiply
    358.62x = 495.01 × 234.06
  4. Step 4: Simplify right side
    358.62x = 115,862.04
  5. Step 5: Solve for x
    x = 115,862.04/358.62
  6. Step 6: Final answer
    x = 323.08

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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.