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Finding the Fourth Proportional to 279.35, 384.95 and 263.96

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Solution

The fourth proportional to 279.35, 384.95 and 263.96 is: 363.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.35 : 384.95 = 263.96 : x
  2. Step 2: Convert to fraction form
    279.35/384.95 = 263.96/x
  3. Step 3: Cross multiply
    279.35x = 384.95 × 263.96
  4. Step 4: Simplify right side
    279.35x = 101,611.58
  5. Step 5: Solve for x
    x = 101,611.58/279.35
  6. Step 6: Final answer
    x = 363.74

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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.