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Finding the Fourth Proportional to 389.36, 537.32 and 223.58

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Solution

The fourth proportional to 389.36, 537.32 and 223.58 is: 308.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.36 : 537.32 = 223.58 : x
  2. Step 2: Convert to fraction form
    389.36/537.32 = 223.58/x
  3. Step 3: Cross multiply
    389.36x = 537.32 × 223.58
  4. Step 4: Simplify right side
    389.36x = 120,135.91
  5. Step 5: Solve for x
    x = 120,135.91/389.36
  6. Step 6: Final answer
    x = 308.55

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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.