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Finding the Fourth Proportional to 549.54, 824.22 and 412.80

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Solution

The fourth proportional to 549.54, 824.22 and 412.80 is: 619.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.54 : 824.22 = 412.80 : x
  2. Step 2: Convert to fraction form
    549.54/824.22 = 412.80/x
  3. Step 3: Cross multiply
    549.54x = 824.22 × 412.80
  4. Step 4: Simplify right side
    549.54x = 340,238.02
  5. Step 5: Solve for x
    x = 340,238.02/549.54
  6. Step 6: Final answer
    x = 619.13

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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.