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Finding the Fourth Proportional to 455.24, 682.56 and 208.34

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Solution

The fourth proportional to 455.24, 682.56 and 208.34 is: 312.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.24 : 682.56 = 208.34 : x
  2. Step 2: Convert to fraction form
    455.24/682.56 = 208.34/x
  3. Step 3: Cross multiply
    455.24x = 682.56 × 208.34
  4. Step 4: Simplify right side
    455.24x = 142,204.55
  5. Step 5: Solve for x
    x = 142,204.55/455.24
  6. Step 6: Final answer
    x = 312.37

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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.