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Finding the Fourth Proportional to 441.99, 610.23 and 284.70

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Solution

The fourth proportional to 441.99, 610.23 and 284.70 is: 393.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.99 : 610.23 = 284.70 : x
  2. Step 2: Convert to fraction form
    441.99/610.23 = 284.70/x
  3. Step 3: Cross multiply
    441.99x = 610.23 × 284.70
  4. Step 4: Simplify right side
    441.99x = 173,732.48
  5. Step 5: Solve for x
    x = 173,732.48/441.99
  6. Step 6: Final answer
    x = 393.07

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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.