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Finding the Fourth Proportional to 358.22, 495.12 and 260.66

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Solution

The fourth proportional to 358.22, 495.12 and 260.66 is: 360.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.22 : 495.12 = 260.66 : x
  2. Step 2: Convert to fraction form
    358.22/495.12 = 260.66/x
  3. Step 3: Cross multiply
    358.22x = 495.12 × 260.66
  4. Step 4: Simplify right side
    358.22x = 129,057.98
  5. Step 5: Solve for x
    x = 129,057.98/358.22
  6. Step 6: Final answer
    x = 360.28

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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.