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Finding the Fourth Proportional to 655.96, 905.26 and 420.11

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Solution

The fourth proportional to 655.96, 905.26 and 420.11 is: 579.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.96 : 905.26 = 420.11 : x
  2. Step 2: Convert to fraction form
    655.96/905.26 = 420.11/x
  3. Step 3: Cross multiply
    655.96x = 905.26 × 420.11
  4. Step 4: Simplify right side
    655.96x = 380,306.68
  5. Step 5: Solve for x
    x = 380,306.68/655.96
  6. Step 6: Final answer
    x = 579.77

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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.