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Finding the Fourth Proportional to 389.49, 537.22 and 256.55

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Solution

The fourth proportional to 389.49, 537.22 and 256.55 is: 353.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.49 : 537.22 = 256.55 : x
  2. Step 2: Convert to fraction form
    389.49/537.22 = 256.55/x
  3. Step 3: Cross multiply
    389.49x = 537.22 × 256.55
  4. Step 4: Simplify right side
    389.49x = 137,823.79
  5. Step 5: Solve for x
    x = 137,823.79/389.49
  6. Step 6: Final answer
    x = 353.86

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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.