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Finding the Fourth Proportional to 272.80, 409.20 and 259.84

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Solution

The fourth proportional to 272.80, 409.20 and 259.84 is: 389.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.80 : 409.20 = 259.84 : x
  2. Step 2: Convert to fraction form
    272.80/409.20 = 259.84/x
  3. Step 3: Cross multiply
    272.80x = 409.20 × 259.84
  4. Step 4: Simplify right side
    272.80x = 106,326.53
  5. Step 5: Solve for x
    x = 106,326.53/272.80
  6. Step 6: Final answer
    x = 389.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.