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Finding the Fourth Proportional to 569.71, 786.19 and 321.09

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Solution

The fourth proportional to 569.71, 786.19 and 321.09 is: 443.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.71 : 786.19 = 321.09 : x
  2. Step 2: Convert to fraction form
    569.71/786.19 = 321.09/x
  3. Step 3: Cross multiply
    569.71x = 786.19 × 321.09
  4. Step 4: Simplify right side
    569.71x = 252,437.75
  5. Step 5: Solve for x
    x = 252,437.75/569.71
  6. Step 6: Final answer
    x = 443.10

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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.