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Finding the Fourth Proportional to 506.69, 760.07 and 214.27

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Solution

The fourth proportional to 506.69, 760.07 and 214.27 is: 321.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.69 : 760.07 = 214.27 : x
  2. Step 2: Convert to fraction form
    506.69/760.07 = 214.27/x
  3. Step 3: Cross multiply
    506.69x = 760.07 × 214.27
  4. Step 4: Simplify right side
    506.69x = 162,860.20
  5. Step 5: Solve for x
    x = 162,860.20/506.69
  6. Step 6: Final answer
    x = 321.42

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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.