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Finding the Fourth Proportional to 940.91, 1,411.36 and 247.57

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Solution

The fourth proportional to 940.91, 1,411.36 and 247.57 is: 371.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.91 : 1,411.36 = 247.57 : x
  2. Step 2: Convert to fraction form
    940.91/1,411.36 = 247.57/x
  3. Step 3: Cross multiply
    940.91x = 1,411.36 × 247.57
  4. Step 4: Simplify right side
    940.91x = 349,406.25
  5. Step 5: Solve for x
    x = 349,406.25/940.91
  6. Step 6: Final answer
    x = 371.35

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