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Finding the Fourth Proportional to 468.38, 646.34 and 258.55

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Solution

The fourth proportional to 468.38, 646.34 and 258.55 is: 356.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.38 : 646.34 = 258.55 : x
  2. Step 2: Convert to fraction form
    468.38/646.34 = 258.55/x
  3. Step 3: Cross multiply
    468.38x = 646.34 × 258.55
  4. Step 4: Simplify right side
    468.38x = 167,112.42
  5. Step 5: Solve for x
    x = 167,112.42/468.38
  6. Step 6: Final answer
    x = 356.79

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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.