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Finding the Fourth Proportional to 549.14, 757.81 and 300.47

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Solution

The fourth proportional to 549.14, 757.81 and 300.47 is: 414.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.14 : 757.81 = 300.47 : x
  2. Step 2: Convert to fraction form
    549.14/757.81 = 300.47/x
  3. Step 3: Cross multiply
    549.14x = 757.81 × 300.47
  4. Step 4: Simplify right side
    549.14x = 227,697.67
  5. Step 5: Solve for x
    x = 227,697.67/549.14
  6. Step 6: Final answer
    x = 414.64

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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.