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Finding the Fourth Proportional to 730.98, 1,096.28 and 268.76

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Solution

The fourth proportional to 730.98, 1,096.28 and 268.76 is: 403.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.98 : 1,096.28 = 268.76 : x
  2. Step 2: Convert to fraction form
    730.98/1,096.28 = 268.76/x
  3. Step 3: Cross multiply
    730.98x = 1,096.28 × 268.76
  4. Step 4: Simplify right side
    730.98x = 294,636.21
  5. Step 5: Solve for x
    x = 294,636.21/730.98
  6. Step 6: Final answer
    x = 403.07

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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.