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Finding the Fourth Proportional to 454.50, 627.22 and 257.94

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Solution

The fourth proportional to 454.50, 627.22 and 257.94 is: 355.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.50 : 627.22 = 257.94 : x
  2. Step 2: Convert to fraction form
    454.50/627.22 = 257.94/x
  3. Step 3: Cross multiply
    454.50x = 627.22 × 257.94
  4. Step 4: Simplify right side
    454.50x = 161,785.13
  5. Step 5: Solve for x
    x = 161,785.13/454.50
  6. Step 6: Final answer
    x = 355.96

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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.