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Finding the Fourth Proportional to 549.01, 824.68 and 418.57

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Solution

The fourth proportional to 549.01, 824.68 and 418.57 is: 628.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.01 : 824.68 = 418.57 : x
  2. Step 2: Convert to fraction form
    549.01/824.68 = 418.57/x
  3. Step 3: Cross multiply
    549.01x = 824.68 × 418.57
  4. Step 4: Simplify right side
    549.01x = 345,184.77
  5. Step 5: Solve for x
    x = 345,184.77/549.01
  6. Step 6: Final answer
    x = 628.74

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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.