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Finding the Fourth Proportional to 496.94, 684.39 and 486.18

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Solution

The fourth proportional to 496.94, 684.39 and 486.18 is: 669.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.94 : 684.39 = 486.18 : x
  2. Step 2: Convert to fraction form
    496.94/684.39 = 486.18/x
  3. Step 3: Cross multiply
    496.94x = 684.39 × 486.18
  4. Step 4: Simplify right side
    496.94x = 332,735.82
  5. Step 5: Solve for x
    x = 332,735.82/496.94
  6. Step 6: Final answer
    x = 669.57

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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.