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Finding the Fourth Proportional to 547.71, 755.84 and 299.03

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Solution

The fourth proportional to 547.71, 755.84 and 299.03 is: 412.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.71 : 755.84 = 299.03 : x
  2. Step 2: Convert to fraction form
    547.71/755.84 = 299.03/x
  3. Step 3: Cross multiply
    547.71x = 755.84 × 299.03
  4. Step 4: Simplify right side
    547.71x = 226,019.98
  5. Step 5: Solve for x
    x = 226,019.98/547.71
  6. Step 6: Final answer
    x = 412.67

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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.