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Finding the Fourth Proportional to 470.31, 649.41 and 295.71

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Solution

The fourth proportional to 470.31, 649.41 and 295.71 is: 408.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.31 : 649.41 = 295.71 : x
  2. Step 2: Convert to fraction form
    470.31/649.41 = 295.71/x
  3. Step 3: Cross multiply
    470.31x = 649.41 × 295.71
  4. Step 4: Simplify right side
    470.31x = 192,037.03
  5. Step 5: Solve for x
    x = 192,037.03/470.31
  6. Step 6: Final answer
    x = 408.32

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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.