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Finding the Fourth Proportional to 457.49, 685.43 and 380.94

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Solution

The fourth proportional to 457.49, 685.43 and 380.94 is: 570.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.49 : 685.43 = 380.94 : x
  2. Step 2: Convert to fraction form
    457.49/685.43 = 380.94/x
  3. Step 3: Cross multiply
    457.49x = 685.43 × 380.94
  4. Step 4: Simplify right side
    457.49x = 261,107.70
  5. Step 5: Solve for x
    x = 261,107.70/457.49
  6. Step 6: Final answer
    x = 570.75

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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.