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Finding the Fourth Proportional to 416.80, 624.79 and 200.13

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Solution

The fourth proportional to 416.80, 624.79 and 200.13 is: 300.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.80 : 624.79 = 200.13 : x
  2. Step 2: Convert to fraction form
    416.80/624.79 = 200.13/x
  3. Step 3: Cross multiply
    416.80x = 624.79 × 200.13
  4. Step 4: Simplify right side
    416.80x = 125,039.22
  5. Step 5: Solve for x
    x = 125,039.22/416.80
  6. Step 6: Final answer
    x = 300.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.