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Finding the Fourth Proportional to 456.37, 629.87 and 298.72

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Solution

The fourth proportional to 456.37, 629.87 and 298.72 is: 412.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.37 : 629.87 = 298.72 : x
  2. Step 2: Convert to fraction form
    456.37/629.87 = 298.72/x
  3. Step 3: Cross multiply
    456.37x = 629.87 × 298.72
  4. Step 4: Simplify right side
    456.37x = 188,155.15
  5. Step 5: Solve for x
    x = 188,155.15/456.37
  6. Step 6: Final answer
    x = 412.29

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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.