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Finding the Fourth Proportional to 470.14, 648.50 and 359.57

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Solution

The fourth proportional to 470.14, 648.50 and 359.57 is: 495.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.14 : 648.50 = 359.57 : x
  2. Step 2: Convert to fraction form
    470.14/648.50 = 359.57/x
  3. Step 3: Cross multiply
    470.14x = 648.50 × 359.57
  4. Step 4: Simplify right side
    470.14x = 233,180.97
  5. Step 5: Solve for x
    x = 233,180.97/470.14
  6. Step 6: Final answer
    x = 495.98

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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.