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Finding the Fourth Proportional to 362.62, 498.59 and 360.28

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Solution

The fourth proportional to 362.62, 498.59 and 360.28 is: 495.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.62 : 498.59 = 360.28 : x
  2. Step 2: Convert to fraction form
    362.62/498.59 = 360.28/x
  3. Step 3: Cross multiply
    362.62x = 498.59 × 360.28
  4. Step 4: Simplify right side
    362.62x = 179,632.01
  5. Step 5: Solve for x
    x = 179,632.01/362.62
  6. Step 6: Final answer
    x = 495.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.