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Finding the Fourth Proportional to 506.93, 760.68 and 214.41

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Solution

The fourth proportional to 506.93, 760.68 and 214.41 is: 321.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.93 : 760.68 = 214.41 : x
  2. Step 2: Convert to fraction form
    506.93/760.68 = 214.41/x
  3. Step 3: Cross multiply
    506.93x = 760.68 × 214.41
  4. Step 4: Simplify right side
    506.93x = 163,097.40
  5. Step 5: Solve for x
    x = 163,097.40/506.93
  6. Step 6: Final answer
    x = 321.74

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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.