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Finding the Fourth Proportional to 454.90, 627.98 and 305.77

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Solution

The fourth proportional to 454.90, 627.98 and 305.77 is: 422.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.90 : 627.98 = 305.77 : x
  2. Step 2: Convert to fraction form
    454.90/627.98 = 305.77/x
  3. Step 3: Cross multiply
    454.90x = 627.98 × 305.77
  4. Step 4: Simplify right side
    454.90x = 192,017.44
  5. Step 5: Solve for x
    x = 192,017.44/454.90
  6. Step 6: Final answer
    x = 422.11

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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.