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Finding the Fourth Proportional to 443.72, 666.06 and 416.84

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Solution

The fourth proportional to 443.72, 666.06 and 416.84 is: 625.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.72 : 666.06 = 416.84 : x
  2. Step 2: Convert to fraction form
    443.72/666.06 = 416.84/x
  3. Step 3: Cross multiply
    443.72x = 666.06 × 416.84
  4. Step 4: Simplify right side
    443.72x = 277,640.45
  5. Step 5: Solve for x
    x = 277,640.45/443.72
  6. Step 6: Final answer
    x = 625.71

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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.