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Finding the Fourth Proportional to 675.97, 932.83 and 414

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Solution

The fourth proportional to 675.97, 932.83 and 414 is: 571.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.97 : 932.83 = 414 : x
  2. Step 2: Convert to fraction form
    675.97/932.83 = 414/x
  3. Step 3: Cross multiply
    675.97x = 932.83 × 414
  4. Step 4: Simplify right side
    675.97x = 386,191.62
  5. Step 5: Solve for x
    x = 386,191.62/675.97
  6. Step 6: Final answer
    x = 571.31

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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.