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Finding the Fourth Proportional to 416.95, 624.41 and 325.42

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Solution

The fourth proportional to 416.95, 624.41 and 325.42 is: 487.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.95 : 624.41 = 325.42 : x
  2. Step 2: Convert to fraction form
    416.95/624.41 = 325.42/x
  3. Step 3: Cross multiply
    416.95x = 624.41 × 325.42
  4. Step 4: Simplify right side
    416.95x = 203,193.53
  5. Step 5: Solve for x
    x = 203,193.53/416.95
  6. Step 6: Final answer
    x = 487.34

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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.