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Finding the Fourth Proportional to 450.36, 676.20 and 286.08

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Solution

The fourth proportional to 450.36, 676.20 and 286.08 is: 429.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.36 : 676.20 = 286.08 : x
  2. Step 2: Convert to fraction form
    450.36/676.20 = 286.08/x
  3. Step 3: Cross multiply
    450.36x = 676.20 × 286.08
  4. Step 4: Simplify right side
    450.36x = 193,447.30
  5. Step 5: Solve for x
    x = 193,447.30/450.36
  6. Step 6: Final answer
    x = 429.54

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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.