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Finding the Fourth Proportional to 455.08, 682.26 and 310.84

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Solution

The fourth proportional to 455.08, 682.26 and 310.84 is: 466.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.08 : 682.26 = 310.84 : x
  2. Step 2: Convert to fraction form
    455.08/682.26 = 310.84/x
  3. Step 3: Cross multiply
    455.08x = 682.26 × 310.84
  4. Step 4: Simplify right side
    455.08x = 212,073.70
  5. Step 5: Solve for x
    x = 212,073.70/455.08
  6. Step 6: Final answer
    x = 466.01

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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.