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Finding the Fourth Proportional to 509.31, 764.33 and 326.79

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Solution

The fourth proportional to 509.31, 764.33 and 326.79 is: 490.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.31 : 764.33 = 326.79 : x
  2. Step 2: Convert to fraction form
    509.31/764.33 = 326.79/x
  3. Step 3: Cross multiply
    509.31x = 764.33 × 326.79
  4. Step 4: Simplify right side
    509.31x = 249,773.77
  5. Step 5: Solve for x
    x = 249,773.77/509.31
  6. Step 6: Final answer
    x = 490.42

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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.