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Finding the Fourth Proportional to 624.80, 934.80 and 408.80

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Solution

The fourth proportional to 624.80, 934.80 and 408.80 is: 611.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.80 : 934.80 = 408.80 : x
  2. Step 2: Convert to fraction form
    624.80/934.80 = 408.80/x
  3. Step 3: Cross multiply
    624.80x = 934.80 × 408.80
  4. Step 4: Simplify right side
    624.80x = 382,146.24
  5. Step 5: Solve for x
    x = 382,146.24/624.80
  6. Step 6: Final answer
    x = 611.63

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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.