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Finding the Fourth Proportional to 454.75, 627.55 and 277.78

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Solution

The fourth proportional to 454.75, 627.55 and 277.78 is: 383.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.75 : 627.55 = 277.78 : x
  2. Step 2: Convert to fraction form
    454.75/627.55 = 277.78/x
  3. Step 3: Cross multiply
    454.75x = 627.55 × 277.78
  4. Step 4: Simplify right side
    454.75x = 174,319.45
  5. Step 5: Solve for x
    x = 174,319.45/454.75
  6. Step 6: Final answer
    x = 383.33

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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.