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Finding the Fourth Proportional to 389.42, 537.40 and 223.64

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Solution

The fourth proportional to 389.42, 537.40 and 223.64 is: 308.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.42 : 537.40 = 223.64 : x
  2. Step 2: Convert to fraction form
    389.42/537.40 = 223.64/x
  3. Step 3: Cross multiply
    389.42x = 537.40 × 223.64
  4. Step 4: Simplify right side
    389.42x = 120,184.92
  5. Step 5: Solve for x
    x = 120,184.92/389.42
  6. Step 6: Final answer
    x = 308.62

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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.