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Finding the Fourth Proportional to 454.14, 682.58 and 300.96

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Solution

The fourth proportional to 454.14, 682.58 and 300.96 is: 452.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.14 : 682.58 = 300.96 : x
  2. Step 2: Convert to fraction form
    454.14/682.58 = 300.96/x
  3. Step 3: Cross multiply
    454.14x = 682.58 × 300.96
  4. Step 4: Simplify right side
    454.14x = 205,429.28
  5. Step 5: Solve for x
    x = 205,429.28/454.14
  6. Step 6: Final answer
    x = 452.35

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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.