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Finding the Fourth Proportional to 389.30, 537.24 and 221.25

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Solution

The fourth proportional to 389.30, 537.24 and 221.25 is: 305.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.30 : 537.24 = 221.25 : x
  2. Step 2: Convert to fraction form
    389.30/537.24 = 221.25/x
  3. Step 3: Cross multiply
    389.30x = 537.24 × 221.25
  4. Step 4: Simplify right side
    389.30x = 118,860.56
  5. Step 5: Solve for x
    x = 118,860.56/389.30
  6. Step 6: Final answer
    x = 305.32

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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.