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Finding the Fourth Proportional to 611.56, 919.37 and 474.67

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Solution

The fourth proportional to 611.56, 919.37 and 474.67 is: 713.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.56 : 919.37 = 474.67 : x
  2. Step 2: Convert to fraction form
    611.56/919.37 = 474.67/x
  3. Step 3: Cross multiply
    611.56x = 919.37 × 474.67
  4. Step 4: Simplify right side
    611.56x = 436,392.69
  5. Step 5: Solve for x
    x = 436,392.69/611.56
  6. Step 6: Final answer
    x = 713.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.