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Finding the Fourth Proportional to 945.41, 1,418.07 and 360.41

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Solution

The fourth proportional to 945.41, 1,418.07 and 360.41 is: 540.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.41 : 1,418.07 = 360.41 : x
  2. Step 2: Convert to fraction form
    945.41/1,418.07 = 360.41/x
  3. Step 3: Cross multiply
    945.41x = 1,418.07 × 360.41
  4. Step 4: Simplify right side
    945.41x = 511,086.61
  5. Step 5: Solve for x
    x = 511,086.61/945.41
  6. Step 6: Final answer
    x = 540.60

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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.