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Finding the Fourth Proportional to 509.63, 764.41 and 213.07

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Solution

The fourth proportional to 509.63, 764.41 and 213.07 is: 319.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.63 : 764.41 = 213.07 : x
  2. Step 2: Convert to fraction form
    509.63/764.41 = 213.07/x
  3. Step 3: Cross multiply
    509.63x = 764.41 × 213.07
  4. Step 4: Simplify right side
    509.63x = 162,872.84
  5. Step 5: Solve for x
    x = 162,872.84/509.63
  6. Step 6: Final answer
    x = 319.59

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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.