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Finding the Fourth Proportional to 454.63, 627.27 and 289.05

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Solution

The fourth proportional to 454.63, 627.27 and 289.05 is: 398.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.63 : 627.27 = 289.05 : x
  2. Step 2: Convert to fraction form
    454.63/627.27 = 289.05/x
  3. Step 3: Cross multiply
    454.63x = 627.27 × 289.05
  4. Step 4: Simplify right side
    454.63x = 181,312.39
  5. Step 5: Solve for x
    x = 181,312.39/454.63
  6. Step 6: Final answer
    x = 398.81

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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.