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Finding the Fourth Proportional to 679.05, 936.56 and 416.81

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Solution

The fourth proportional to 679.05, 936.56 and 416.81 is: 574.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.05 : 936.56 = 416.81 : x
  2. Step 2: Convert to fraction form
    679.05/936.56 = 416.81/x
  3. Step 3: Cross multiply
    679.05x = 936.56 × 416.81
  4. Step 4: Simplify right side
    679.05x = 390,370.96
  5. Step 5: Solve for x
    x = 390,370.96/679.05
  6. Step 6: Final answer
    x = 574.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.