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Finding the Fourth Proportional to 482.15, 723.23 and 299.61

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Solution

The fourth proportional to 482.15, 723.23 and 299.61 is: 449.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.15 : 723.23 = 299.61 : x
  2. Step 2: Convert to fraction form
    482.15/723.23 = 299.61/x
  3. Step 3: Cross multiply
    482.15x = 723.23 × 299.61
  4. Step 4: Simplify right side
    482.15x = 216,685.44
  5. Step 5: Solve for x
    x = 216,685.44/482.15
  6. Step 6: Final answer
    x = 449.42

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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.