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Finding the Fourth Proportional to 454.36, 680.64 and 210.56

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Solution

The fourth proportional to 454.36, 680.64 and 210.56 is: 315.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.36 : 680.64 = 210.56 : x
  2. Step 2: Convert to fraction form
    454.36/680.64 = 210.56/x
  3. Step 3: Cross multiply
    454.36x = 680.64 × 210.56
  4. Step 4: Simplify right side
    454.36x = 143,315.56
  5. Step 5: Solve for x
    x = 143,315.56/454.36
  6. Step 6: Final answer
    x = 315.42

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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.