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Finding the Fourth Proportional to 445.97, 669.56 and 431.39

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Solution

The fourth proportional to 445.97, 669.56 and 431.39 is: 647.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.97 : 669.56 = 431.39 : x
  2. Step 2: Convert to fraction form
    445.97/669.56 = 431.39/x
  3. Step 3: Cross multiply
    445.97x = 669.56 × 431.39
  4. Step 4: Simplify right side
    445.97x = 288,835.98
  5. Step 5: Solve for x
    x = 288,835.98/445.97
  6. Step 6: Final answer
    x = 647.67

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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.