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Finding the Fourth Proportional to 454.24, 626.80 and 257.76

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Solution

The fourth proportional to 454.24, 626.80 and 257.76 is: 355.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.24 : 626.80 = 257.76 : x
  2. Step 2: Convert to fraction form
    454.24/626.80 = 257.76/x
  3. Step 3: Cross multiply
    454.24x = 626.80 × 257.76
  4. Step 4: Simplify right side
    454.24x = 161,563.97
  5. Step 5: Solve for x
    x = 161,563.97/454.24
  6. Step 6: Final answer
    x = 355.68

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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.