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Finding the Fourth Proportional to 443.37, 666.50 and 411.01

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Solution

The fourth proportional to 443.37, 666.50 and 411.01 is: 617.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.37 : 666.50 = 411.01 : x
  2. Step 2: Convert to fraction form
    443.37/666.50 = 411.01/x
  3. Step 3: Cross multiply
    443.37x = 666.50 × 411.01
  4. Step 4: Simplify right side
    443.37x = 273,934.44
  5. Step 5: Solve for x
    x = 273,934.44/443.37
  6. Step 6: Final answer
    x = 617.84

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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.