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Finding the Fourth Proportional to 416.17, 623.67 and 324.46

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Solution

The fourth proportional to 416.17, 623.67 and 324.46 is: 486.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.17 : 623.67 = 324.46 : x
  2. Step 2: Convert to fraction form
    416.17/623.67 = 324.46/x
  3. Step 3: Cross multiply
    416.17x = 623.67 × 324.46
  4. Step 4: Simplify right side
    416.17x = 202,355.97
  5. Step 5: Solve for x
    x = 202,355.97/416.17
  6. Step 6: Final answer
    x = 486.23

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Why These Related Problems?

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