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Finding the Fourth Proportional to 976.82, 1,465.16 and 327.47

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Solution

The fourth proportional to 976.82, 1,465.16 and 327.47 is: 491.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.82 : 1,465.16 = 327.47 : x
  2. Step 2: Convert to fraction form
    976.82/1,465.16 = 327.47/x
  3. Step 3: Cross multiply
    976.82x = 1,465.16 × 327.47
  4. Step 4: Simplify right side
    976.82x = 479,786.98
  5. Step 5: Solve for x
    x = 479,786.98/976.82
  6. Step 6: Final answer
    x = 491.17

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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.