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Finding the Fourth Proportional to 342.81, 511.68 and 299.73

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Solution

The fourth proportional to 342.81, 511.68 and 299.73 is: 447.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.81 : 511.68 = 299.73 : x
  2. Step 2: Convert to fraction form
    342.81/511.68 = 299.73/x
  3. Step 3: Cross multiply
    342.81x = 511.68 × 299.73
  4. Step 4: Simplify right side
    342.81x = 153,365.85
  5. Step 5: Solve for x
    x = 153,365.85/342.81
  6. Step 6: Final answer
    x = 447.38

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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.