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Finding the Fourth Proportional to 416.94, 575.10 and 329.46

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Solution

The fourth proportional to 416.94, 575.10 and 329.46 is: 454.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.94 : 575.10 = 329.46 : x
  2. Step 2: Convert to fraction form
    416.94/575.10 = 329.46/x
  3. Step 3: Cross multiply
    416.94x = 575.10 × 329.46
  4. Step 4: Simplify right side
    416.94x = 189,472.45
  5. Step 5: Solve for x
    x = 189,472.45/416.94
  6. Step 6: Final answer
    x = 454.44

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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.