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Finding the Fourth Proportional to 468.20, 646.14 and 258.39

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Solution

The fourth proportional to 468.20, 646.14 and 258.39 is: 356.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.20 : 646.14 = 258.39 : x
  2. Step 2: Convert to fraction form
    468.20/646.14 = 258.39/x
  3. Step 3: Cross multiply
    468.20x = 646.14 × 258.39
  4. Step 4: Simplify right side
    468.20x = 166,956.11
  5. Step 5: Solve for x
    x = 166,956.11/468.20
  6. Step 6: Final answer
    x = 356.59

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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.