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Finding the Fourth Proportional to 601.96, 830.94 and 405.56

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Solution

The fourth proportional to 601.96, 830.94 and 405.56 is: 559.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.96 : 830.94 = 405.56 : x
  2. Step 2: Convert to fraction form
    601.96/830.94 = 405.56/x
  3. Step 3: Cross multiply
    601.96x = 830.94 × 405.56
  4. Step 4: Simplify right side
    601.96x = 336,996.03
  5. Step 5: Solve for x
    x = 336,996.03/601.96
  6. Step 6: Final answer
    x = 559.83

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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.