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Finding the Fourth Proportional to 730.74, 1,008.21 and 416.01

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Solution

The fourth proportional to 730.74, 1,008.21 and 416.01 is: 573.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.74 : 1,008.21 = 416.01 : x
  2. Step 2: Convert to fraction form
    730.74/1,008.21 = 416.01/x
  3. Step 3: Cross multiply
    730.74x = 1,008.21 × 416.01
  4. Step 4: Simplify right side
    730.74x = 419,425.44
  5. Step 5: Solve for x
    x = 419,425.44/730.74
  6. Step 6: Final answer
    x = 573.97

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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.