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Finding the Fourth Proportional to 468.85, 646.99 and 272.33

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Solution

The fourth proportional to 468.85, 646.99 and 272.33 is: 375.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.85 : 646.99 = 272.33 : x
  2. Step 2: Convert to fraction form
    468.85/646.99 = 272.33/x
  3. Step 3: Cross multiply
    468.85x = 646.99 × 272.33
  4. Step 4: Simplify right side
    468.85x = 176,194.79
  5. Step 5: Solve for x
    x = 176,194.79/468.85
  6. Step 6: Final answer
    x = 375.80

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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.