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Finding the Fourth Proportional to 416.92, 625.46 and 211.40

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Solution

The fourth proportional to 416.92, 625.46 and 211.40 is: 317.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.92 : 625.46 = 211.40 : x
  2. Step 2: Convert to fraction form
    416.92/625.46 = 211.40/x
  3. Step 3: Cross multiply
    416.92x = 625.46 × 211.40
  4. Step 4: Simplify right side
    416.92x = 132,222.24
  5. Step 5: Solve for x
    x = 132,222.24/416.92
  6. Step 6: Final answer
    x = 317.14

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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.