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Finding the Fourth Proportional to 470.71, 649.62 and 274.15

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Solution

The fourth proportional to 470.71, 649.62 and 274.15 is: 378.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.71 : 649.62 = 274.15 : x
  2. Step 2: Convert to fraction form
    470.71/649.62 = 274.15/x
  3. Step 3: Cross multiply
    470.71x = 649.62 × 274.15
  4. Step 4: Simplify right side
    470.71x = 178,093.32
  5. Step 5: Solve for x
    x = 178,093.32/470.71
  6. Step 6: Final answer
    x = 378.35

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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.