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Finding the Fourth Proportional to 456.50, 629.40 and 298.92

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Solution

The fourth proportional to 456.50, 629.40 and 298.92 is: 412.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.50 : 629.40 = 298.92 : x
  2. Step 2: Convert to fraction form
    456.50/629.40 = 298.92/x
  3. Step 3: Cross multiply
    456.50x = 629.40 × 298.92
  4. Step 4: Simplify right side
    456.50x = 188,143.73
  5. Step 5: Solve for x
    x = 188,143.73/456.50
  6. Step 6: Final answer
    x = 412.14

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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.