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Finding the Fourth Proportional to 416.53, 623.78 and 403.57

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Solution

The fourth proportional to 416.53, 623.78 and 403.57 is: 604.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.53 : 623.78 = 403.57 : x
  2. Step 2: Convert to fraction form
    416.53/623.78 = 403.57/x
  3. Step 3: Cross multiply
    416.53x = 623.78 × 403.57
  4. Step 4: Simplify right side
    416.53x = 251,738.89
  5. Step 5: Solve for x
    x = 251,738.89/416.53
  6. Step 6: Final answer
    x = 604.37

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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.