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Finding the Fourth Proportional to 414.95, 573.01 and 267.83

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Solution

The fourth proportional to 414.95, 573.01 and 267.83 is: 369.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.95 : 573.01 = 267.83 : x
  2. Step 2: Convert to fraction form
    414.95/573.01 = 267.83/x
  3. Step 3: Cross multiply
    414.95x = 573.01 × 267.83
  4. Step 4: Simplify right side
    414.95x = 153,467.88
  5. Step 5: Solve for x
    x = 153,467.88/414.95
  6. Step 6: Final answer
    x = 369.85

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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.