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Finding the Fourth Proportional to 708.25, 977.43 and 397.75

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Solution

The fourth proportional to 708.25, 977.43 and 397.75 is: 548.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.25 : 977.43 = 397.75 : x
  2. Step 2: Convert to fraction form
    708.25/977.43 = 397.75/x
  3. Step 3: Cross multiply
    708.25x = 977.43 × 397.75
  4. Step 4: Simplify right side
    708.25x = 388,772.78
  5. Step 5: Solve for x
    x = 388,772.78/708.25
  6. Step 6: Final answer
    x = 548.92

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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.