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Finding the Fourth Proportional to 471.21, 650.25 and 296.67

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Solution

The fourth proportional to 471.21, 650.25 and 296.67 is: 409.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.21 : 650.25 = 296.67 : x
  2. Step 2: Convert to fraction form
    471.21/650.25 = 296.67/x
  3. Step 3: Cross multiply
    471.21x = 650.25 × 296.67
  4. Step 4: Simplify right side
    471.21x = 192,909.67
  5. Step 5: Solve for x
    x = 192,909.67/471.21
  6. Step 6: Final answer
    x = 409.39

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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.