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Finding the Fourth Proportional to 730.35, 1,007.84 and 398.71

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Solution

The fourth proportional to 730.35, 1,007.84 and 398.71 is: 550.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.35 : 1,007.84 = 398.71 : x
  2. Step 2: Convert to fraction form
    730.35/1,007.84 = 398.71/x
  3. Step 3: Cross multiply
    730.35x = 1,007.84 × 398.71
  4. Step 4: Simplify right side
    730.35x = 401,836.73
  5. Step 5: Solve for x
    x = 401,836.73/730.35
  6. Step 6: Final answer
    x = 550.20

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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.