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Finding the Fourth Proportional to 416.22, 573.82 and 321.40

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Solution

The fourth proportional to 416.22, 573.82 and 321.40 is: 443.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.22 : 573.82 = 321.40 : x
  2. Step 2: Convert to fraction form
    416.22/573.82 = 321.40/x
  3. Step 3: Cross multiply
    416.22x = 573.82 × 321.40
  4. Step 4: Simplify right side
    416.22x = 184,425.75
  5. Step 5: Solve for x
    x = 184,425.75/416.22
  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.