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Finding the Fourth Proportional to 468.97, 647.07 and 272.49

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Solution

The fourth proportional to 468.97, 647.07 and 272.49 is: 375.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.97 : 647.07 = 272.49 : x
  2. Step 2: Convert to fraction form
    468.97/647.07 = 272.49/x
  3. Step 3: Cross multiply
    468.97x = 647.07 × 272.49
  4. Step 4: Simplify right side
    468.97x = 176,320.10
  5. Step 5: Solve for x
    x = 176,320.10/468.97
  6. Step 6: Final answer
    x = 375.97

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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.