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Finding the Fourth Proportional to 443.57, 665.67 and 416.67

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Solution

The fourth proportional to 443.57, 665.67 and 416.67 is: 625.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.57 : 665.67 = 416.67 : x
  2. Step 2: Convert to fraction form
    443.57/665.67 = 416.67/x
  3. Step 3: Cross multiply
    443.57x = 665.67 × 416.67
  4. Step 4: Simplify right side
    443.57x = 277,364.72
  5. Step 5: Solve for x
    x = 277,364.72/443.57
  6. Step 6: Final answer
    x = 625.31

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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.