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Finding the Fourth Proportional to 677.94, 935.74 and 416.18

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Solution

The fourth proportional to 677.94, 935.74 and 416.18 is: 574.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.94 : 935.74 = 416.18 : x
  2. Step 2: Convert to fraction form
    677.94/935.74 = 416.18/x
  3. Step 3: Cross multiply
    677.94x = 935.74 × 416.18
  4. Step 4: Simplify right side
    677.94x = 389,436.27
  5. Step 5: Solve for x
    x = 389,436.27/677.94
  6. Step 6: Final answer
    x = 574.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.