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Finding the Fourth Proportional to 596.06, 822.60 and 419.25

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Solution

The fourth proportional to 596.06, 822.60 and 419.25 is: 578.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.06 : 822.60 = 419.25 : x
  2. Step 2: Convert to fraction form
    596.06/822.60 = 419.25/x
  3. Step 3: Cross multiply
    596.06x = 822.60 × 419.25
  4. Step 4: Simplify right side
    596.06x = 344,875.05
  5. Step 5: Solve for x
    x = 344,875.05/596.06
  6. Step 6: Final answer
    x = 578.59

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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.