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Finding the Fourth Proportional to 499.65, 689.36 and 359.75

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Solution

The fourth proportional to 499.65, 689.36 and 359.75 is: 496.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.65 : 689.36 = 359.75 : x
  2. Step 2: Convert to fraction form
    499.65/689.36 = 359.75/x
  3. Step 3: Cross multiply
    499.65x = 689.36 × 359.75
  4. Step 4: Simplify right side
    499.65x = 247,992.01
  5. Step 5: Solve for x
    x = 247,992.01/499.65
  6. Step 6: Final answer
    x = 496.33

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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.