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Finding the Fourth Proportional to 468.33, 646.31 and 258.53

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Solution

The fourth proportional to 468.33, 646.31 and 258.53 is: 356.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.33 : 646.31 = 258.53 : x
  2. Step 2: Convert to fraction form
    468.33/646.31 = 258.53/x
  3. Step 3: Cross multiply
    468.33x = 646.31 × 258.53
  4. Step 4: Simplify right side
    468.33x = 167,087.94
  5. Step 5: Solve for x
    x = 167,087.94/468.33
  6. Step 6: Final answer
    x = 356.78

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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.