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Finding the Fourth Proportional to 730.02, 1,007.41 and 419.54

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Solution

The fourth proportional to 730.02, 1,007.41 and 419.54 is: 578.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.02 : 1,007.41 = 419.54 : x
  2. Step 2: Convert to fraction form
    730.02/1,007.41 = 419.54/x
  3. Step 3: Cross multiply
    730.02x = 1,007.41 × 419.54
  4. Step 4: Simplify right side
    730.02x = 422,648.79
  5. Step 5: Solve for x
    x = 422,648.79/730.02
  6. Step 6: Final answer
    x = 578.96

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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.