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Finding the Fourth Proportional to 569.70, 786.23 and 321.05

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Solution

The fourth proportional to 569.70, 786.23 and 321.05 is: 443.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.70 : 786.23 = 321.05 : x
  2. Step 2: Convert to fraction form
    569.70/786.23 = 321.05/x
  3. Step 3: Cross multiply
    569.70x = 786.23 × 321.05
  4. Step 4: Simplify right side
    569.70x = 252,416.01
  5. Step 5: Solve for x
    x = 252,416.01/569.70
  6. Step 6: Final answer
    x = 443.07

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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.