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Finding the Fourth Proportional to 976.38, 1,464.64 and 309.43

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Solution

The fourth proportional to 976.38, 1,464.64 and 309.43 is: 464.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.38 : 1,464.64 = 309.43 : x
  2. Step 2: Convert to fraction form
    976.38/1,464.64 = 309.43/x
  3. Step 3: Cross multiply
    976.38x = 1,464.64 × 309.43
  4. Step 4: Simplify right side
    976.38x = 453,203.23
  5. Step 5: Solve for x
    x = 453,203.23/976.38
  6. Step 6: Final answer
    x = 464.17

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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.