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Finding the Fourth Proportional to 679, 937.04 and 416.96

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Solution

The fourth proportional to 679, 937.04 and 416.96 is: 575.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    679 : 937.04 = 416.96 : x
  2. Step 2: Convert to fraction form
    679/937.04 = 416.96/x
  3. Step 3: Cross multiply
    679x = 937.04 × 416.96
  4. Step 4: Simplify right side
    679x = 390,708.20
  5. Step 5: Solve for x
    x = 390,708.20/679
  6. Step 6: Final answer
    x = 575.42

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Why These Related Problems?

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