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Finding the Fourth Proportional to 498.26, 687.94 and 311.82

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Solution

The fourth proportional to 498.26, 687.94 and 311.82 is: 430.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.26 : 687.94 = 311.82 : x
  2. Step 2: Convert to fraction form
    498.26/687.94 = 311.82/x
  3. Step 3: Cross multiply
    498.26x = 687.94 × 311.82
  4. Step 4: Simplify right side
    498.26x = 214,513.45
  5. Step 5: Solve for x
    x = 214,513.45/498.26
  6. Step 6: Final answer
    x = 430.53

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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.