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Finding the Fourth Proportional to 806.38, 1,208.16 and 372.64

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Solution

The fourth proportional to 806.38, 1,208.16 and 372.64 is: 558.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.38 : 1,208.16 = 372.64 : x
  2. Step 2: Convert to fraction form
    806.38/1,208.16 = 372.64/x
  3. Step 3: Cross multiply
    806.38x = 1,208.16 × 372.64
  4. Step 4: Simplify right side
    806.38x = 450,208.74
  5. Step 5: Solve for x
    x = 450,208.74/806.38
  6. Step 6: Final answer
    x = 558.31

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