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Finding the Fourth Proportional to 455.58, 682.35 and 211.59

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Solution

The fourth proportional to 455.58, 682.35 and 211.59 is: 316.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.58 : 682.35 = 211.59 : x
  2. Step 2: Convert to fraction form
    455.58/682.35 = 211.59/x
  3. Step 3: Cross multiply
    455.58x = 682.35 × 211.59
  4. Step 4: Simplify right side
    455.58x = 144,378.44
  5. Step 5: Solve for x
    x = 144,378.44/455.58
  6. Step 6: Final answer
    x = 316.91

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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.