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Finding the Fourth Proportional to 418.23, 627.01 and 223.13

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Solution

The fourth proportional to 418.23, 627.01 and 223.13 is: 334.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.23 : 627.01 = 223.13 : x
  2. Step 2: Convert to fraction form
    418.23/627.01 = 223.13/x
  3. Step 3: Cross multiply
    418.23x = 627.01 × 223.13
  4. Step 4: Simplify right side
    418.23x = 139,905.75
  5. Step 5: Solve for x
    x = 139,905.75/418.23
  6. Step 6: Final answer
    x = 334.52

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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.