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Finding the Fourth Proportional to 423.36, 588.90 and 415.44

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Solution

The fourth proportional to 423.36, 588.90 and 415.44 is: 577.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.36 : 588.90 = 415.44 : x
  2. Step 2: Convert to fraction form
    423.36/588.90 = 415.44/x
  3. Step 3: Cross multiply
    423.36x = 588.90 × 415.44
  4. Step 4: Simplify right side
    423.36x = 244,652.62
  5. Step 5: Solve for x
    x = 244,652.62/423.36
  6. Step 6: Final answer
    x = 577.88

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.