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Finding the Fourth Proportional to 506.36, 698.23 and 319.63

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Solution

The fourth proportional to 506.36, 698.23 and 319.63 is: 440.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.36 : 698.23 = 319.63 : x
  2. Step 2: Convert to fraction form
    506.36/698.23 = 319.63/x
  3. Step 3: Cross multiply
    506.36x = 698.23 × 319.63
  4. Step 4: Simplify right side
    506.36x = 223,175.25
  5. Step 5: Solve for x
    x = 223,175.25/506.36
  6. Step 6: Final answer
    x = 440.74

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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.