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Finding the Fourth Proportional to 549.34, 758.09 and 300.67

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Solution

The fourth proportional to 549.34, 758.09 and 300.67 is: 414.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.34 : 758.09 = 300.67 : x
  2. Step 2: Convert to fraction form
    549.34/758.09 = 300.67/x
  3. Step 3: Cross multiply
    549.34x = 758.09 × 300.67
  4. Step 4: Simplify right side
    549.34x = 227,934.92
  5. Step 5: Solve for x
    x = 227,934.92/549.34
  6. Step 6: Final answer
    x = 414.93

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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.