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Finding the Fourth Proportional to 411.01, 567.09 and 305.73

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Solution

The fourth proportional to 411.01, 567.09 and 305.73 is: 421.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.01 : 567.09 = 305.73 : x
  2. Step 2: Convert to fraction form
    411.01/567.09 = 305.73/x
  3. Step 3: Cross multiply
    411.01x = 567.09 × 305.73
  4. Step 4: Simplify right side
    411.01x = 173,376.43
  5. Step 5: Solve for x
    x = 173,376.43/411.01
  6. Step 6: Final answer
    x = 421.83

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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.