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Finding the Fourth Proportional to 455.30, 682.82 and 238.76

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Solution

The fourth proportional to 455.30, 682.82 and 238.76 is: 358.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.30 : 682.82 = 238.76 : x
  2. Step 2: Convert to fraction form
    455.30/682.82 = 238.76/x
  3. Step 3: Cross multiply
    455.30x = 682.82 × 238.76
  4. Step 4: Simplify right side
    455.30x = 163,028.91
  5. Step 5: Solve for x
    x = 163,028.91/455.30
  6. Step 6: Final answer
    x = 358.07

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