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Finding the Fourth Proportional to 879.41, 1,318.16 and 416.49

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Solution

The fourth proportional to 879.41, 1,318.16 and 416.49 is: 624.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.41 : 1,318.16 = 416.49 : x
  2. Step 2: Convert to fraction form
    879.41/1,318.16 = 416.49/x
  3. Step 3: Cross multiply
    879.41x = 1,318.16 × 416.49
  4. Step 4: Simplify right side
    879.41x = 548,998.38
  5. Step 5: Solve for x
    x = 548,998.38/879.41
  6. Step 6: Final answer
    x = 624.28

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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.