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Finding the Fourth Proportional to 506.09, 697.94 and 319.26

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Solution

The fourth proportional to 506.09, 697.94 and 319.26 is: 440.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.09 : 697.94 = 319.26 : x
  2. Step 2: Convert to fraction form
    506.09/697.94 = 319.26/x
  3. Step 3: Cross multiply
    506.09x = 697.94 × 319.26
  4. Step 4: Simplify right side
    506.09x = 222,824.41
  5. Step 5: Solve for x
    x = 222,824.41/506.09
  6. Step 6: Final answer
    x = 440.28

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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.