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Finding the Fourth Proportional to 656.44, 984.40 and 327.13

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Solution

The fourth proportional to 656.44, 984.40 and 327.13 is: 490.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.44 : 984.40 = 327.13 : x
  2. Step 2: Convert to fraction form
    656.44/984.40 = 327.13/x
  3. Step 3: Cross multiply
    656.44x = 984.40 × 327.13
  4. Step 4: Simplify right side
    656.44x = 322,026.77
  5. Step 5: Solve for x
    x = 322,026.77/656.44
  6. Step 6: Final answer
    x = 490.57

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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.