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Finding the Fourth Proportional to 496.16, 684.99 and 319.22

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Solution

The fourth proportional to 496.16, 684.99 and 319.22 is: 440.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.16 : 684.99 = 319.22 : x
  2. Step 2: Convert to fraction form
    496.16/684.99 = 319.22/x
  3. Step 3: Cross multiply
    496.16x = 684.99 × 319.22
  4. Step 4: Simplify right side
    496.16x = 218,662.51
  5. Step 5: Solve for x
    x = 218,662.51/496.16
  6. Step 6: Final answer
    x = 440.71

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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.