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Finding the Fourth Proportional to 468.14, 646.09 and 258.34

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Solution

The fourth proportional to 468.14, 646.09 and 258.34 is: 356.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.14 : 646.09 = 258.34 : x
  2. Step 2: Convert to fraction form
    468.14/646.09 = 258.34/x
  3. Step 3: Cross multiply
    468.14x = 646.09 × 258.34
  4. Step 4: Simplify right side
    468.14x = 166,910.15
  5. Step 5: Solve for x
    x = 166,910.15/468.14
  6. Step 6: Final answer
    x = 356.54

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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.