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Finding the Fourth Proportional to 419.84, 628.32 and 327.68

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Solution

The fourth proportional to 419.84, 628.32 and 327.68 is: 490.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.84 : 628.32 = 327.68 : x
  2. Step 2: Convert to fraction form
    419.84/628.32 = 327.68/x
  3. Step 3: Cross multiply
    419.84x = 628.32 × 327.68
  4. Step 4: Simplify right side
    419.84x = 205,887.90
  5. Step 5: Solve for x
    x = 205,887.90/419.84
  6. Step 6: Final answer
    x = 490.40

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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.