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Finding the Fourth Proportional to 940.41, 1,410.35 and 282.26

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Solution

The fourth proportional to 940.41, 1,410.35 and 282.26 is: 423.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.41 : 1,410.35 = 282.26 : x
  2. Step 2: Convert to fraction form
    940.41/1,410.35 = 282.26/x
  3. Step 3: Cross multiply
    940.41x = 1,410.35 × 282.26
  4. Step 4: Simplify right side
    940.41x = 398,083.98
  5. Step 5: Solve for x
    x = 398,083.98/940.41
  6. Step 6: Final answer
    x = 423.31

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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.