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Finding the Fourth Proportional to 389.50, 537.16 and 278.74

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Solution

The fourth proportional to 389.50, 537.16 and 278.74 is: 384.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.50 : 537.16 = 278.74 : x
  2. Step 2: Convert to fraction form
    389.50/537.16 = 278.74/x
  3. Step 3: Cross multiply
    389.50x = 537.16 × 278.74
  4. Step 4: Simplify right side
    389.50x = 149,727.98
  5. Step 5: Solve for x
    x = 149,727.98/389.50
  6. Step 6: Final answer
    x = 384.41

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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.