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Finding the Fourth Proportional to 453.45, 680.14 and 128.77

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Solution

The fourth proportional to 453.45, 680.14 and 128.77 is: 193.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.45 : 680.14 = 128.77 : x
  2. Step 2: Convert to fraction form
    453.45/680.14 = 128.77/x
  3. Step 3: Cross multiply
    453.45x = 680.14 × 128.77
  4. Step 4: Simplify right side
    453.45x = 87,581.63
  5. Step 5: Solve for x
    x = 87,581.63/453.45
  6. Step 6: Final answer
    x = 193.15

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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.