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Finding the Fourth Proportional to 462.42, 694.56 and 450.26

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Solution

The fourth proportional to 462.42, 694.56 and 450.26 is: 676.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.42 : 694.56 = 450.26 : x
  2. Step 2: Convert to fraction form
    462.42/694.56 = 450.26/x
  3. Step 3: Cross multiply
    462.42x = 694.56 × 450.26
  4. Step 4: Simplify right side
    462.42x = 312,732.59
  5. Step 5: Solve for x
    x = 312,732.59/462.42
  6. Step 6: Final answer
    x = 676.30

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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.