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Finding the Fourth Proportional to 416.75, 621.70 and 377.56

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Solution

The fourth proportional to 416.75, 621.70 and 377.56 is: 563.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.75 : 621.70 = 377.56 : x
  2. Step 2: Convert to fraction form
    416.75/621.70 = 377.56/x
  3. Step 3: Cross multiply
    416.75x = 621.70 × 377.56
  4. Step 4: Simplify right side
    416.75x = 234,729.95
  5. Step 5: Solve for x
    x = 234,729.95/416.75
  6. Step 6: Final answer
    x = 563.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.