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Finding the Fourth Proportional to 454.23, 626.85 and 257.77

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Solution

The fourth proportional to 454.23, 626.85 and 257.77 is: 355.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.23 : 626.85 = 257.77 : x
  2. Step 2: Convert to fraction form
    454.23/626.85 = 257.77/x
  3. Step 3: Cross multiply
    454.23x = 626.85 × 257.77
  4. Step 4: Simplify right side
    454.23x = 161,581.84
  5. Step 5: Solve for x
    x = 161,581.84/454.23
  6. Step 6: Final answer
    x = 355.73

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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.