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Finding the Fourth Proportional to 730.69, 1,008.47 and 416.09

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Solution

The fourth proportional to 730.69, 1,008.47 and 416.09 is: 574.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.69 : 1,008.47 = 416.09 : x
  2. Step 2: Convert to fraction form
    730.69/1,008.47 = 416.09/x
  3. Step 3: Cross multiply
    730.69x = 1,008.47 × 416.09
  4. Step 4: Simplify right side
    730.69x = 419,614.28
  5. Step 5: Solve for x
    x = 419,614.28/730.69
  6. Step 6: Final answer
    x = 574.27

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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.