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Finding the Fourth Proportional to 359.03, 495.11 and 260.82

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Solution

The fourth proportional to 359.03, 495.11 and 260.82 is: 359.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.03 : 495.11 = 260.82 : x
  2. Step 2: Convert to fraction form
    359.03/495.11 = 260.82/x
  3. Step 3: Cross multiply
    359.03x = 495.11 × 260.82
  4. Step 4: Simplify right side
    359.03x = 129,135.24
  5. Step 5: Solve for x
    x = 129,135.24/359.03
  6. Step 6: Final answer
    x = 359.68

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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.