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Finding the Fourth Proportional to 456.29, 629.07 and 298.61

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Solution

The fourth proportional to 456.29, 629.07 and 298.61 is: 411.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.29 : 629.07 = 298.61 : x
  2. Step 2: Convert to fraction form
    456.29/629.07 = 298.61/x
  3. Step 3: Cross multiply
    456.29x = 629.07 × 298.61
  4. Step 4: Simplify right side
    456.29x = 187,846.59
  5. Step 5: Solve for x
    x = 187,846.59/456.29
  6. Step 6: Final answer
    x = 411.68

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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.