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Finding the Fourth Proportional to 679.14, 936.50 and 416.97

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Solution

The fourth proportional to 679.14, 936.50 and 416.97 is: 574.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.14 : 936.50 = 416.97 : x
  2. Step 2: Convert to fraction form
    679.14/936.50 = 416.97/x
  3. Step 3: Cross multiply
    679.14x = 936.50 × 416.97
  4. Step 4: Simplify right side
    679.14x = 390,490.32
  5. Step 5: Solve for x
    x = 390,490.32/679.14
  6. Step 6: Final answer
    x = 574.98

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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.