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Finding the Fourth Proportional to 419.40, 628.20 and 327.60

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Solution

The fourth proportional to 419.40, 628.20 and 327.60 is: 490.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.40 : 628.20 = 327.60 : x
  2. Step 2: Convert to fraction form
    419.40/628.20 = 327.60/x
  3. Step 3: Cross multiply
    419.40x = 628.20 × 327.60
  4. Step 4: Simplify right side
    419.40x = 205,798.32
  5. Step 5: Solve for x
    x = 205,798.32/419.40
  6. Step 6: Final answer
    x = 490.70

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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.