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Finding the Fourth Proportional to 431.73, 647.46 and 380.43

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Solution

The fourth proportional to 431.73, 647.46 and 380.43 is: 570.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.73 : 647.46 = 380.43 : x
  2. Step 2: Convert to fraction form
    431.73/647.46 = 380.43/x
  3. Step 3: Cross multiply
    431.73x = 647.46 × 380.43
  4. Step 4: Simplify right side
    431.73x = 246,313.21
  5. Step 5: Solve for x
    x = 246,313.21/431.73
  6. Step 6: Final answer
    x = 570.53

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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.