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Finding the Fourth Proportional to 677.89, 935.49 and 415.90

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Solution

The fourth proportional to 677.89, 935.49 and 415.90 is: 573.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.89 : 935.49 = 415.90 : x
  2. Step 2: Convert to fraction form
    677.89/935.49 = 415.90/x
  3. Step 3: Cross multiply
    677.89x = 935.49 × 415.90
  4. Step 4: Simplify right side
    677.89x = 389,070.29
  5. Step 5: Solve for x
    x = 389,070.29/677.89
  6. Step 6: Final answer
    x = 573.94

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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.