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Finding the Fourth Proportional to 445.79, 669.65 and 431.21

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Solution

The fourth proportional to 445.79, 669.65 and 431.21 is: 647.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.79 : 669.65 = 431.21 : x
  2. Step 2: Convert to fraction form
    445.79/669.65 = 431.21/x
  3. Step 3: Cross multiply
    445.79x = 669.65 × 431.21
  4. Step 4: Simplify right side
    445.79x = 288,759.78
  5. Step 5: Solve for x
    x = 288,759.78/445.79
  6. Step 6: Final answer
    x = 647.75

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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.