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Finding the Fourth Proportional to 945.41, 1,418.11 and 397.58

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Solution

The fourth proportional to 945.41, 1,418.11 and 397.58 is: 596.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.41 : 1,418.11 = 397.58 : x
  2. Step 2: Convert to fraction form
    945.41/1,418.11 = 397.58/x
  3. Step 3: Cross multiply
    945.41x = 1,418.11 × 397.58
  4. Step 4: Simplify right side
    945.41x = 563,804.09
  5. Step 5: Solve for x
    x = 563,804.09/945.41
  6. Step 6: Final answer
    x = 596.36

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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.