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Finding the Fourth Proportional to 506, 758.66 and 213.68

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Solution

The fourth proportional to 506, 758.66 and 213.68 is: 320.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    506 : 758.66 = 213.68 : x
  2. Step 2: Convert to fraction form
    506/758.66 = 213.68/x
  3. Step 3: Cross multiply
    506x = 758.66 × 213.68
  4. Step 4: Simplify right side
    506x = 162,110.47
  5. Step 5: Solve for x
    x = 162,110.47/506
  6. Step 6: Final answer
    x = 320.38

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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.