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Finding the Fourth Proportional to 470.97, 649.94 and 261.18

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Solution

The fourth proportional to 470.97, 649.94 and 261.18 is: 360.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.97 : 649.94 = 261.18 : x
  2. Step 2: Convert to fraction form
    470.97/649.94 = 261.18/x
  3. Step 3: Cross multiply
    470.97x = 649.94 × 261.18
  4. Step 4: Simplify right side
    470.97x = 169,750.02
  5. Step 5: Solve for x
    x = 169,750.02/470.97
  6. Step 6: Final answer
    x = 360.43

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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.