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Finding the Fourth Proportional to 505.68, 758.19 and 213.37

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Solution

The fourth proportional to 505.68, 758.19 and 213.37 is: 319.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.68 : 758.19 = 213.37 : x
  2. Step 2: Convert to fraction form
    505.68/758.19 = 213.37/x
  3. Step 3: Cross multiply
    505.68x = 758.19 × 213.37
  4. Step 4: Simplify right side
    505.68x = 161,775.00
  5. Step 5: Solve for x
    x = 161,775.00/505.68
  6. Step 6: Final answer
    x = 319.92

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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.