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Finding the Fourth Proportional to 730.28, 1,095.46 and 422.48

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Solution

The fourth proportional to 730.28, 1,095.46 and 422.48 is: 633.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.28 : 1,095.46 = 422.48 : x
  2. Step 2: Convert to fraction form
    730.28/1,095.46 = 422.48/x
  3. Step 3: Cross multiply
    730.28x = 1,095.46 × 422.48
  4. Step 4: Simplify right side
    730.28x = 462,809.94
  5. Step 5: Solve for x
    x = 462,809.94/730.28
  6. Step 6: Final answer
    x = 633.74

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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.