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Finding the Fourth Proportional to 506.80, 760.41 and 214.37

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Solution

The fourth proportional to 506.80, 760.41 and 214.37 is: 321.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.80 : 760.41 = 214.37 : x
  2. Step 2: Convert to fraction form
    506.80/760.41 = 214.37/x
  3. Step 3: Cross multiply
    506.80x = 760.41 × 214.37
  4. Step 4: Simplify right side
    506.80x = 163,009.09
  5. Step 5: Solve for x
    x = 163,009.09/506.80
  6. Step 6: Final answer
    x = 321.64

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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.