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Finding the Fourth Proportional to 569.85, 786.41 and 321.21

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Solution

The fourth proportional to 569.85, 786.41 and 321.21 is: 443.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.85 : 786.41 = 321.21 : x
  2. Step 2: Convert to fraction form
    569.85/786.41 = 321.21/x
  3. Step 3: Cross multiply
    569.85x = 786.41 × 321.21
  4. Step 4: Simplify right side
    569.85x = 252,602.76
  5. Step 5: Solve for x
    x = 252,602.76/569.85
  6. Step 6: Final answer
    x = 443.28

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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.