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Finding the Fourth Proportional to 418.80, 628.02 and 322.68

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Solution

The fourth proportional to 418.80, 628.02 and 322.68 is: 483.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.80 : 628.02 = 322.68 : x
  2. Step 2: Convert to fraction form
    418.80/628.02 = 322.68/x
  3. Step 3: Cross multiply
    418.80x = 628.02 × 322.68
  4. Step 4: Simplify right side
    418.80x = 202,649.49
  5. Step 5: Solve for x
    x = 202,649.49/418.80
  6. Step 6: Final answer
    x = 483.88

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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.