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Finding the Fourth Proportional to 976.17, 1,464.09 and 326.90

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Solution

The fourth proportional to 976.17, 1,464.09 and 326.90 is: 490.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.17 : 1,464.09 = 326.90 : x
  2. Step 2: Convert to fraction form
    976.17/1,464.09 = 326.90/x
  3. Step 3: Cross multiply
    976.17x = 1,464.09 × 326.90
  4. Step 4: Simplify right side
    976.17x = 478,602.07
  5. Step 5: Solve for x
    x = 478,602.07/976.17
  6. Step 6: Final answer
    x = 490.29

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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.