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Finding the Fourth Proportional to 468.38, 646.38 and 258.58

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Solution

The fourth proportional to 468.38, 646.38 and 258.58 is: 356.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.38 : 646.38 = 258.58 : x
  2. Step 2: Convert to fraction form
    468.38/646.38 = 258.58/x
  3. Step 3: Cross multiply
    468.38x = 646.38 × 258.58
  4. Step 4: Simplify right side
    468.38x = 167,140.94
  5. Step 5: Solve for x
    x = 167,140.94/468.38
  6. Step 6: Final answer
    x = 356.85

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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.