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Finding the Fourth Proportional to 474.98, 712.74 and 201.04

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Solution

The fourth proportional to 474.98, 712.74 and 201.04 is: 301.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.98 : 712.74 = 201.04 : x
  2. Step 2: Convert to fraction form
    474.98/712.74 = 201.04/x
  3. Step 3: Cross multiply
    474.98x = 712.74 × 201.04
  4. Step 4: Simplify right side
    474.98x = 143,289.25
  5. Step 5: Solve for x
    x = 143,289.25/474.98
  6. Step 6: Final answer
    x = 301.67

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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.