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Finding the Fourth Proportional to 443.58, 662.11 and 411

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Solution

The fourth proportional to 443.58, 662.11 and 411 is: 613.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.58 : 662.11 = 411 : x
  2. Step 2: Convert to fraction form
    443.58/662.11 = 411/x
  3. Step 3: Cross multiply
    443.58x = 662.11 × 411
  4. Step 4: Simplify right side
    443.58x = 272,127.21
  5. Step 5: Solve for x
    x = 272,127.21/443.58
  6. Step 6: Final answer
    x = 613.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.