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Finding the Fourth Proportional to 677.90, 935.69 and 408.92

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Solution

The fourth proportional to 677.90, 935.69 and 408.92 is: 564.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.90 : 935.69 = 408.92 : x
  2. Step 2: Convert to fraction form
    677.90/935.69 = 408.92/x
  3. Step 3: Cross multiply
    677.90x = 935.69 × 408.92
  4. Step 4: Simplify right side
    677.90x = 382,615.63
  5. Step 5: Solve for x
    x = 382,615.63/677.90
  6. Step 6: Final answer
    x = 564.41

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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.