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Finding the Fourth Proportional to 499.87, 689.25 and 313.27

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Solution

The fourth proportional to 499.87, 689.25 and 313.27 is: 431.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.87 : 689.25 = 313.27 : x
  2. Step 2: Convert to fraction form
    499.87/689.25 = 313.27/x
  3. Step 3: Cross multiply
    499.87x = 689.25 × 313.27
  4. Step 4: Simplify right side
    499.87x = 215,921.35
  5. Step 5: Solve for x
    x = 215,921.35/499.87
  6. Step 6: Final answer
    x = 431.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.