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Finding the Fourth Proportional to 470.97, 649.67 and 274.46

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Solution

The fourth proportional to 470.97, 649.67 and 274.46 is: 378.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.97 : 649.67 = 274.46 : x
  2. Step 2: Convert to fraction form
    470.97/649.67 = 274.46/x
  3. Step 3: Cross multiply
    470.97x = 649.67 × 274.46
  4. Step 4: Simplify right side
    470.97x = 178,303.81
  5. Step 5: Solve for x
    x = 178,303.81/470.97
  6. Step 6: Final answer
    x = 378.59

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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.