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Finding the Fourth Proportional to 1,578.41, 2,367.76 and 408.41

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Solution

The fourth proportional to 1,578.41, 2,367.76 and 408.41 is: 612.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.41 : 2,367.76 = 408.41 : x
  2. Step 2: Convert to fraction form
    1,578.41/2,367.76 = 408.41/x
  3. Step 3: Cross multiply
    1,578.41x = 2,367.76 × 408.41
  4. Step 4: Simplify right side
    1,578.41x = 967,004.00
  5. Step 5: Solve for x
    x = 967,004.00/1,578.41
  6. Step 6: Final answer
    x = 612.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.