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Finding the Fourth Proportional to 418.40, 628.20 and 327.20

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Solution

The fourth proportional to 418.40, 628.20 and 327.20 is: 491.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.40 : 628.20 = 327.20 : x
  2. Step 2: Convert to fraction form
    418.40/628.20 = 327.20/x
  3. Step 3: Cross multiply
    418.40x = 628.20 × 327.20
  4. Step 4: Simplify right side
    418.40x = 205,547.04
  5. Step 5: Solve for x
    x = 205,547.04/418.40
  6. Step 6: Final answer
    x = 491.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.