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Finding the Fourth Proportional to 456, 629.07 and 325.08

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Solution

The fourth proportional to 456, 629.07 and 325.08 is: 448.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    456 : 629.07 = 325.08 : x
  2. Step 2: Convert to fraction form
    456/629.07 = 325.08/x
  3. Step 3: Cross multiply
    456x = 629.07 × 325.08
  4. Step 4: Simplify right side
    456x = 204,498.08
  5. Step 5: Solve for x
    x = 204,498.08/456
  6. Step 6: Final answer
    x = 448.46

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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.