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Finding the Fourth Proportional to 569.91, 854.86 and 326.26

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Solution

The fourth proportional to 569.91, 854.86 and 326.26 is: 489.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.91 : 854.86 = 326.26 : x
  2. Step 2: Convert to fraction form
    569.91/854.86 = 326.26/x
  3. Step 3: Cross multiply
    569.91x = 854.86 × 326.26
  4. Step 4: Simplify right side
    569.91x = 278,906.62
  5. Step 5: Solve for x
    x = 278,906.62/569.91
  6. Step 6: Final answer
    x = 489.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.