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Finding the Fourth Proportional to 454.26, 626.90 and 257.78

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Solution

The fourth proportional to 454.26, 626.90 and 257.78 is: 355.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.26 : 626.90 = 257.78 : x
  2. Step 2: Convert to fraction form
    454.26/626.90 = 257.78/x
  3. Step 3: Cross multiply
    454.26x = 626.90 × 257.78
  4. Step 4: Simplify right side
    454.26x = 161,597.86
  5. Step 5: Solve for x
    x = 161,597.86/454.26
  6. Step 6: Final answer
    x = 355.74

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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.