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Finding the Fourth Proportional to 496.21, 684.66 and 319.23

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Solution

The fourth proportional to 496.21, 684.66 and 319.23 is: 440.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.21 : 684.66 = 319.23 : x
  2. Step 2: Convert to fraction form
    496.21/684.66 = 319.23/x
  3. Step 3: Cross multiply
    496.21x = 684.66 × 319.23
  4. Step 4: Simplify right side
    496.21x = 218,565.34
  5. Step 5: Solve for x
    x = 218,565.34/496.21
  6. Step 6: Final answer
    x = 440.47

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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.