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Finding the Fourth Proportional to 549.86, 824.07 and 419.38

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Solution

The fourth proportional to 549.86, 824.07 and 419.38 is: 628.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.86 : 824.07 = 419.38 : x
  2. Step 2: Convert to fraction form
    549.86/824.07 = 419.38/x
  3. Step 3: Cross multiply
    549.86x = 824.07 × 419.38
  4. Step 4: Simplify right side
    549.86x = 345,602.62
  5. Step 5: Solve for x
    x = 345,602.62/549.86
  6. Step 6: Final answer
    x = 628.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.