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Finding the Fourth Proportional to 679.12, 936.89 and 410.05

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Solution

The fourth proportional to 679.12, 936.89 and 410.05 is: 565.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.12 : 936.89 = 410.05 : x
  2. Step 2: Convert to fraction form
    679.12/936.89 = 410.05/x
  3. Step 3: Cross multiply
    679.12x = 936.89 × 410.05
  4. Step 4: Simplify right side
    679.12x = 384,167.91
  5. Step 5: Solve for x
    x = 384,167.91/679.12
  6. Step 6: Final answer
    x = 565.69

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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.