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Finding the Fourth Proportional to 419.55, 579.01 and 233.05

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Solution

The fourth proportional to 419.55, 579.01 and 233.05 is: 321.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.55 : 579.01 = 233.05 : x
  2. Step 2: Convert to fraction form
    419.55/579.01 = 233.05/x
  3. Step 3: Cross multiply
    419.55x = 579.01 × 233.05
  4. Step 4: Simplify right side
    419.55x = 134,936.25
  5. Step 5: Solve for x
    x = 134,936.25/419.55
  6. Step 6: Final answer
    x = 321.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.