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Finding the Fourth Proportional to 470.73, 649.14 and 310.92

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Solution

The fourth proportional to 470.73, 649.14 and 310.92 is: 428.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.73 : 649.14 = 310.92 : x
  2. Step 2: Convert to fraction form
    470.73/649.14 = 310.92/x
  3. Step 3: Cross multiply
    470.73x = 649.14 × 310.92
  4. Step 4: Simplify right side
    470.73x = 201,831.39
  5. Step 5: Solve for x
    x = 201,831.39/470.73
  6. Step 6: Final answer
    x = 428.77

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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.