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Finding the Fourth Proportional to 613, 919.40 and 223

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Solution

The fourth proportional to 613, 919.40 and 223 is: 334.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    613 : 919.40 = 223 : x
  2. Step 2: Convert to fraction form
    613/919.40 = 223/x
  3. Step 3: Cross multiply
    613x = 919.40 × 223
  4. Step 4: Simplify right side
    613x = 205,026.20
  5. Step 5: Solve for x
    x = 205,026.20/613
  6. Step 6: Final answer
    x = 334.46

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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.