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Finding the Fourth Proportional to 468.49, 646.49 and 258.66

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Solution

The fourth proportional to 468.49, 646.49 and 258.66 is: 356.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.49 : 646.49 = 258.66 : x
  2. Step 2: Convert to fraction form
    468.49/646.49 = 258.66/x
  3. Step 3: Cross multiply
    468.49x = 646.49 × 258.66
  4. Step 4: Simplify right side
    468.49x = 167,221.10
  5. Step 5: Solve for x
    x = 167,221.10/468.49
  6. Step 6: Final answer
    x = 356.94

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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.