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Finding the Fourth Proportional to 506.97, 760.23 and 214.43

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Solution

The fourth proportional to 506.97, 760.23 and 214.43 is: 321.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.97 : 760.23 = 214.43 : x
  2. Step 2: Convert to fraction form
    506.97/760.23 = 214.43/x
  3. Step 3: Cross multiply
    506.97x = 760.23 × 214.43
  4. Step 4: Simplify right side
    506.97x = 163,012.32
  5. Step 5: Solve for x
    x = 163,012.32/506.97
  6. Step 6: Final answer
    x = 321.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.