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Finding the Fourth Proportional to 470.73, 649.67 and 293.69

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Solution

The fourth proportional to 470.73, 649.67 and 293.69 is: 405.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.73 : 649.67 = 293.69 : x
  2. Step 2: Convert to fraction form
    470.73/649.67 = 293.69/x
  3. Step 3: Cross multiply
    470.73x = 649.67 × 293.69
  4. Step 4: Simplify right side
    470.73x = 190,796.87
  5. Step 5: Solve for x
    x = 190,796.87/470.73
  6. Step 6: Final answer
    x = 405.32

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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.