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Finding the Fourth Proportional to 730.41, 1,007.90 and 415.74

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Solution

The fourth proportional to 730.41, 1,007.90 and 415.74 is: 573.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.41 : 1,007.90 = 415.74 : x
  2. Step 2: Convert to fraction form
    730.41/1,007.90 = 415.74/x
  3. Step 3: Cross multiply
    730.41x = 1,007.90 × 415.74
  4. Step 4: Simplify right side
    730.41x = 419,022.27
  5. Step 5: Solve for x
    x = 419,022.27/730.41
  6. Step 6: Final answer
    x = 573.68

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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.