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Finding the Fourth Proportional to 730.11, 1,007.46 and 415.41

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Solution

The fourth proportional to 730.11, 1,007.46 and 415.41 is: 573.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.11 : 1,007.46 = 415.41 : x
  2. Step 2: Convert to fraction form
    730.11/1,007.46 = 415.41/x
  3. Step 3: Cross multiply
    730.11x = 1,007.46 × 415.41
  4. Step 4: Simplify right side
    730.11x = 418,506.88
  5. Step 5: Solve for x
    x = 418,506.88/730.11
  6. Step 6: Final answer
    x = 573.21

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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.