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Finding the Fourth Proportional to 455.14, 627.86 and 289.04

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Solution

The fourth proportional to 455.14, 627.86 and 289.04 is: 398.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.14 : 627.86 = 289.04 : x
  2. Step 2: Convert to fraction form
    455.14/627.86 = 289.04/x
  3. Step 3: Cross multiply
    455.14x = 627.86 × 289.04
  4. Step 4: Simplify right side
    455.14x = 181,476.65
  5. Step 5: Solve for x
    x = 181,476.65/455.14
  6. Step 6: Final answer
    x = 398.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.