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Finding the Fourth Proportional to 468.12, 646.01 and 255.45

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Solution

The fourth proportional to 468.12, 646.01 and 255.45 is: 352.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.12 : 646.01 = 255.45 : x
  2. Step 2: Convert to fraction form
    468.12/646.01 = 255.45/x
  3. Step 3: Cross multiply
    468.12x = 646.01 × 255.45
  4. Step 4: Simplify right side
    468.12x = 165,021.68
  5. Step 5: Solve for x
    x = 165,021.68/468.12
  6. Step 6: Final answer
    x = 352.52

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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.