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Finding the Fourth Proportional to 976.22, 1,464.17 and 428.30

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Solution

The fourth proportional to 976.22, 1,464.17 and 428.30 is: 642.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.22 : 1,464.17 = 428.30 : x
  2. Step 2: Convert to fraction form
    976.22/1,464.17 = 428.30/x
  3. Step 3: Cross multiply
    976.22x = 1,464.17 × 428.30
  4. Step 4: Simplify right side
    976.22x = 627,104.01
  5. Step 5: Solve for x
    x = 627,104.01/976.22
  6. Step 6: Final answer
    x = 642.38

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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.