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Finding the Fourth Proportional to 627.11, 864.84 and 405.83

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Solution

The fourth proportional to 627.11, 864.84 and 405.83 is: 559.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.11 : 864.84 = 405.83 : x
  2. Step 2: Convert to fraction form
    627.11/864.84 = 405.83/x
  3. Step 3: Cross multiply
    627.11x = 864.84 × 405.83
  4. Step 4: Simplify right side
    627.11x = 350,978.02
  5. Step 5: Solve for x
    x = 350,978.02/627.11
  6. Step 6: Final answer
    x = 559.68

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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.