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Finding the Fourth Proportional to 549.36, 819.78 and 490.96

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Solution

The fourth proportional to 549.36, 819.78 and 490.96 is: 732.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.36 : 819.78 = 490.96 : x
  2. Step 2: Convert to fraction form
    549.36/819.78 = 490.96/x
  3. Step 3: Cross multiply
    549.36x = 819.78 × 490.96
  4. Step 4: Simplify right side
    549.36x = 402,477.14
  5. Step 5: Solve for x
    x = 402,477.14/549.36
  6. Step 6: Final answer
    x = 732.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.