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Finding the Fourth Proportional to 677.98, 935.52 and 415.94

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Solution

The fourth proportional to 677.98, 935.52 and 415.94 is: 573.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.98 : 935.52 = 415.94 : x
  2. Step 2: Convert to fraction form
    677.98/935.52 = 415.94/x
  3. Step 3: Cross multiply
    677.98x = 935.52 × 415.94
  4. Step 4: Simplify right side
    677.98x = 389,120.19
  5. Step 5: Solve for x
    x = 389,120.19/677.98
  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.