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Finding the Fourth Proportional to 380.70, 525.29 and 223.29

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Solution

The fourth proportional to 380.70, 525.29 and 223.29 is: 308.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.70 : 525.29 = 223.29 : x
  2. Step 2: Convert to fraction form
    380.70/525.29 = 223.29/x
  3. Step 3: Cross multiply
    380.70x = 525.29 × 223.29
  4. Step 4: Simplify right side
    380.70x = 117,290.89
  5. Step 5: Solve for x
    x = 117,290.89/380.70
  6. Step 6: Final answer
    x = 308.09

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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.