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Finding the Fourth Proportional to 454.36, 627.02 and 277.48

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Solution

The fourth proportional to 454.36, 627.02 and 277.48 is: 382.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.36 : 627.02 = 277.48 : x
  2. Step 2: Convert to fraction form
    454.36/627.02 = 277.48/x
  3. Step 3: Cross multiply
    454.36x = 627.02 × 277.48
  4. Step 4: Simplify right side
    454.36x = 173,985.51
  5. Step 5: Solve for x
    x = 173,985.51/454.36
  6. Step 6: Final answer
    x = 382.92

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Why These Related Problems?

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