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Finding the Fourth Proportional to 505.74, 758.75 and 213.17

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Solution

The fourth proportional to 505.74, 758.75 and 213.17 is: 319.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.74 : 758.75 = 213.17 : x
  2. Step 2: Convert to fraction form
    505.74/758.75 = 213.17/x
  3. Step 3: Cross multiply
    505.74x = 758.75 × 213.17
  4. Step 4: Simplify right side
    505.74x = 161,742.74
  5. Step 5: Solve for x
    x = 161,742.74/505.74
  6. Step 6: Final answer
    x = 319.81

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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.