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Finding the Fourth Proportional to 332.99, 460.49 and 299.73

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Solution

The fourth proportional to 332.99, 460.49 and 299.73 is: 414.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.99 : 460.49 = 299.73 : x
  2. Step 2: Convert to fraction form
    332.99/460.49 = 299.73/x
  3. Step 3: Cross multiply
    332.99x = 460.49 × 299.73
  4. Step 4: Simplify right side
    332.99x = 138,022.90
  5. Step 5: Solve for x
    x = 138,022.90/332.99
  6. Step 6: Final answer
    x = 414.49

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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.