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Finding the Fourth Proportional to 470.74, 649.63 and 274.26

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Solution

The fourth proportional to 470.74, 649.63 and 274.26 is: 378.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.74 : 649.63 = 274.26 : x
  2. Step 2: Convert to fraction form
    470.74/649.63 = 274.26/x
  3. Step 3: Cross multiply
    470.74x = 649.63 × 274.26
  4. Step 4: Simplify right side
    470.74x = 178,166.15
  5. Step 5: Solve for x
    x = 178,166.15/470.74
  6. Step 6: Final answer
    x = 378.48

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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.