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Finding the Fourth Proportional to 454.22, 626.66 and 255.02

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Solution

The fourth proportional to 454.22, 626.66 and 255.02 is: 351.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.22 : 626.66 = 255.02 : x
  2. Step 2: Convert to fraction form
    454.22/626.66 = 255.02/x
  3. Step 3: Cross multiply
    454.22x = 626.66 × 255.02
  4. Step 4: Simplify right side
    454.22x = 159,813.53
  5. Step 5: Solve for x
    x = 159,813.53/454.22
  6. Step 6: Final answer
    x = 351.84

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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.