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Finding the Fourth Proportional to 508.24, 762.29 and 219.64

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Solution

The fourth proportional to 508.24, 762.29 and 219.64 is: 329.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.24 : 762.29 = 219.64 : x
  2. Step 2: Convert to fraction form
    508.24/762.29 = 219.64/x
  3. Step 3: Cross multiply
    508.24x = 762.29 × 219.64
  4. Step 4: Simplify right side
    508.24x = 167,429.38
  5. Step 5: Solve for x
    x = 167,429.38/508.24
  6. Step 6: Final answer
    x = 329.43

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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.