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Finding the Fourth Proportional to 493.14, 675.59 and 474.67

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Solution

The fourth proportional to 493.14, 675.59 and 474.67 is: 650.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.14 : 675.59 = 474.67 : x
  2. Step 2: Convert to fraction form
    493.14/675.59 = 474.67/x
  3. Step 3: Cross multiply
    493.14x = 675.59 × 474.67
  4. Step 4: Simplify right side
    493.14x = 320,679.93
  5. Step 5: Solve for x
    x = 320,679.93/493.14
  6. Step 6: Final answer
    x = 650.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.