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Finding the Fourth Proportional to 679.44, 937.92 and 414

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Solution

The fourth proportional to 679.44, 937.92 and 414 is: 571.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.44 : 937.92 = 414 : x
  2. Step 2: Convert to fraction form
    679.44/937.92 = 414/x
  3. Step 3: Cross multiply
    679.44x = 937.92 × 414
  4. Step 4: Simplify right side
    679.44x = 388,298.88
  5. Step 5: Solve for x
    x = 388,298.88/679.44
  6. Step 6: Final answer
    x = 571.50

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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.