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Finding the Fourth Proportional to 310.16, 465.40 and 219.44

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Solution

The fourth proportional to 310.16, 465.40 and 219.44 is: 329.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.16 : 465.40 = 219.44 : x
  2. Step 2: Convert to fraction form
    310.16/465.40 = 219.44/x
  3. Step 3: Cross multiply
    310.16x = 465.40 × 219.44
  4. Step 4: Simplify right side
    310.16x = 102,126.28
  5. Step 5: Solve for x
    x = 102,126.28/310.16
  6. Step 6: Final answer
    x = 329.27

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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.