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Finding the Fourth Proportional to 547.28, 754.60 and 416.06

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Solution

The fourth proportional to 547.28, 754.60 and 416.06 is: 573.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.28 : 754.60 = 416.06 : x
  2. Step 2: Convert to fraction form
    547.28/754.60 = 416.06/x
  3. Step 3: Cross multiply
    547.28x = 754.60 × 416.06
  4. Step 4: Simplify right side
    547.28x = 313,958.88
  5. Step 5: Solve for x
    x = 313,958.88/547.28
  6. Step 6: Final answer
    x = 573.67

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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.