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Finding the Fourth Proportional to 569.82, 786.34 and 321.16

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Solution

The fourth proportional to 569.82, 786.34 and 321.16 is: 443.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.82 : 786.34 = 321.16 : x
  2. Step 2: Convert to fraction form
    569.82/786.34 = 321.16/x
  3. Step 3: Cross multiply
    569.82x = 786.34 × 321.16
  4. Step 4: Simplify right side
    569.82x = 252,540.95
  5. Step 5: Solve for x
    x = 252,540.95/569.82
  6. Step 6: Final answer
    x = 443.19

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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.