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Finding the Fourth Proportional to 506.74, 760.29 and 214.31

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Solution

The fourth proportional to 506.74, 760.29 and 214.31 is: 321.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.74 : 760.29 = 214.31 : x
  2. Step 2: Convert to fraction form
    506.74/760.29 = 214.31/x
  3. Step 3: Cross multiply
    506.74x = 760.29 × 214.31
  4. Step 4: Simplify right side
    506.74x = 162,937.75
  5. Step 5: Solve for x
    x = 162,937.75/506.74
  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.