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Finding the Fourth Proportional to 549.41, 824.27 and 306.11

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Solution

The fourth proportional to 549.41, 824.27 and 306.11 is: 459.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.41 : 824.27 = 306.11 : x
  2. Step 2: Convert to fraction form
    549.41/824.27 = 306.11/x
  3. Step 3: Cross multiply
    549.41x = 824.27 × 306.11
  4. Step 4: Simplify right side
    549.41x = 252,317.29
  5. Step 5: Solve for x
    x = 252,317.29/549.41
  6. Step 6: Final answer
    x = 459.25

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Why These Related Problems?

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