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Finding the Fourth Proportional to 455.06, 679.16 and 411.32

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Solution

The fourth proportional to 455.06, 679.16 and 411.32 is: 613.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.06 : 679.16 = 411.32 : x
  2. Step 2: Convert to fraction form
    455.06/679.16 = 411.32/x
  3. Step 3: Cross multiply
    455.06x = 679.16 × 411.32
  4. Step 4: Simplify right side
    455.06x = 279,351.73
  5. Step 5: Solve for x
    x = 279,351.73/455.06
  6. Step 6: Final answer
    x = 613.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.