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Finding the Fourth Proportional to 359.83, 495.97 and 286.02

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Solution

The fourth proportional to 359.83, 495.97 and 286.02 is: 394.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.83 : 495.97 = 286.02 : x
  2. Step 2: Convert to fraction form
    359.83/495.97 = 286.02/x
  3. Step 3: Cross multiply
    359.83x = 495.97 × 286.02
  4. Step 4: Simplify right side
    359.83x = 141,857.34
  5. Step 5: Solve for x
    x = 141,857.34/359.83
  6. Step 6: Final answer
    x = 394.23

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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.