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Finding the Fourth Proportional to 443.46, 610.66 and 406.50

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Solution

The fourth proportional to 443.46, 610.66 and 406.50 is: 559.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.46 : 610.66 = 406.50 : x
  2. Step 2: Convert to fraction form
    443.46/610.66 = 406.50/x
  3. Step 3: Cross multiply
    443.46x = 610.66 × 406.50
  4. Step 4: Simplify right side
    443.46x = 248,233.29
  5. Step 5: Solve for x
    x = 248,233.29/443.46
  6. Step 6: Final answer
    x = 559.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.