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Finding the Fourth Proportional to 549.17, 757.84 and 300.49

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Solution

The fourth proportional to 549.17, 757.84 and 300.49 is: 414.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.17 : 757.84 = 300.49 : x
  2. Step 2: Convert to fraction form
    549.17/757.84 = 300.49/x
  3. Step 3: Cross multiply
    549.17x = 757.84 × 300.49
  4. Step 4: Simplify right side
    549.17x = 227,723.34
  5. Step 5: Solve for x
    x = 227,723.34/549.17
  6. Step 6: Final answer
    x = 414.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.