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Finding the Fourth Proportional to 456.51, 629.50 and 298.96

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Solution

The fourth proportional to 456.51, 629.50 and 298.96 is: 412.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.51 : 629.50 = 298.96 : x
  2. Step 2: Convert to fraction form
    456.51/629.50 = 298.96/x
  3. Step 3: Cross multiply
    456.51x = 629.50 × 298.96
  4. Step 4: Simplify right side
    456.51x = 188,195.32
  5. Step 5: Solve for x
    x = 188,195.32/456.51
  6. Step 6: Final answer
    x = 412.25

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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.