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Finding the Fourth Proportional to 730.41, 1,008 and 415.73

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Solution

The fourth proportional to 730.41, 1,008 and 415.73 is: 573.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.41 : 1,008 = 415.73 : x
  2. Step 2: Convert to fraction form
    730.41/1,008 = 415.73/x
  3. Step 3: Cross multiply
    730.41x = 1,008 × 415.73
  4. Step 4: Simplify right side
    730.41x = 419,050.80
  5. Step 5: Solve for x
    x = 419,050.80/730.41
  6. Step 6: Final answer
    x = 573.72

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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.