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Finding the Fourth Proportional to 455.22, 682.29 and 257.76

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Solution

The fourth proportional to 455.22, 682.29 and 257.76 is: 386.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.22 : 682.29 = 257.76 : x
  2. Step 2: Convert to fraction form
    455.22/682.29 = 257.76/x
  3. Step 3: Cross multiply
    455.22x = 682.29 × 257.76
  4. Step 4: Simplify right side
    455.22x = 175,867.07
  5. Step 5: Solve for x
    x = 175,867.07/455.22
  6. Step 6: Final answer
    x = 386.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.