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Finding the Fourth Proportional to 806.38, 1,208.85 and 416.17

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Solution

The fourth proportional to 806.38, 1,208.85 and 416.17 is: 623.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.38 : 1,208.85 = 416.17 : x
  2. Step 2: Convert to fraction form
    806.38/1,208.85 = 416.17/x
  3. Step 3: Cross multiply
    806.38x = 1,208.85 × 416.17
  4. Step 4: Simplify right side
    806.38x = 503,087.10
  5. Step 5: Solve for x
    x = 503,087.10/806.38
  6. Step 6: Final answer
    x = 623.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.