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Finding the Fourth Proportional to 505.84, 758.22 and 213.28

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Solution

The fourth proportional to 505.84, 758.22 and 213.28 is: 319.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.84 : 758.22 = 213.28 : x
  2. Step 2: Convert to fraction form
    505.84/758.22 = 213.28/x
  3. Step 3: Cross multiply
    505.84x = 758.22 × 213.28
  4. Step 4: Simplify right side
    505.84x = 161,713.16
  5. Step 5: Solve for x
    x = 161,713.16/505.84
  6. Step 6: Final answer
    x = 319.69

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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.