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Finding the Fourth Proportional to 499.73, 689.25 and 331.38

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Solution

The fourth proportional to 499.73, 689.25 and 331.38 is: 457.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.73 : 689.25 = 331.38 : x
  2. Step 2: Convert to fraction form
    499.73/689.25 = 331.38/x
  3. Step 3: Cross multiply
    499.73x = 689.25 × 331.38
  4. Step 4: Simplify right side
    499.73x = 228,402.01
  5. Step 5: Solve for x
    x = 228,402.01/499.73
  6. Step 6: Final answer
    x = 457.06

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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.