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Finding the Fourth Proportional to 492.73, 676.34 and 436.24

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Solution

The fourth proportional to 492.73, 676.34 and 436.24 is: 598.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.73 : 676.34 = 436.24 : x
  2. Step 2: Convert to fraction form
    492.73/676.34 = 436.24/x
  3. Step 3: Cross multiply
    492.73x = 676.34 × 436.24
  4. Step 4: Simplify right side
    492.73x = 295,046.56
  5. Step 5: Solve for x
    x = 295,046.56/492.73
  6. Step 6: Final answer
    x = 598.80

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.