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Finding the Fourth Proportional to 470.36, 649.68 and 339.14

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Solution

The fourth proportional to 470.36, 649.68 and 339.14 is: 468.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.36 : 649.68 = 339.14 : x
  2. Step 2: Convert to fraction form
    470.36/649.68 = 339.14/x
  3. Step 3: Cross multiply
    470.36x = 649.68 × 339.14
  4. Step 4: Simplify right side
    470.36x = 220,332.48
  5. Step 5: Solve for x
    x = 220,332.48/470.36
  6. Step 6: Final answer
    x = 468.43

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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.