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Finding the Fourth Proportional to 499.38, 689.34 and 359.52

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Solution

The fourth proportional to 499.38, 689.34 and 359.52 is: 496.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.38 : 689.34 = 359.52 : x
  2. Step 2: Convert to fraction form
    499.38/689.34 = 359.52/x
  3. Step 3: Cross multiply
    499.38x = 689.34 × 359.52
  4. Step 4: Simplify right side
    499.38x = 247,831.52
  5. Step 5: Solve for x
    x = 247,831.52/499.38
  6. Step 6: Final answer
    x = 496.28

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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.