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Finding the Fourth Proportional to 730.70, 1,096.45 and 297.75

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Solution

The fourth proportional to 730.70, 1,096.45 and 297.75 is: 446.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.70 : 1,096.45 = 297.75 : x
  2. Step 2: Convert to fraction form
    730.70/1,096.45 = 297.75/x
  3. Step 3: Cross multiply
    730.70x = 1,096.45 × 297.75
  4. Step 4: Simplify right side
    730.70x = 326,467.24
  5. Step 5: Solve for x
    x = 326,467.24/730.70
  6. Step 6: Final answer
    x = 446.79

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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.