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Finding the Fourth Proportional to 317.69, 438.82 and 219.27

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Solution

The fourth proportional to 317.69, 438.82 and 219.27 is: 302.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.69 : 438.82 = 219.27 : x
  2. Step 2: Convert to fraction form
    317.69/438.82 = 219.27/x
  3. Step 3: Cross multiply
    317.69x = 438.82 × 219.27
  4. Step 4: Simplify right side
    317.69x = 96,220.06
  5. Step 5: Solve for x
    x = 96,220.06/317.69
  6. Step 6: Final answer
    x = 302.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.