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Finding the Fourth Proportional to 470.57, 648.59 and 359.81

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Solution

The fourth proportional to 470.57, 648.59 and 359.81 is: 495.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.57 : 648.59 = 359.81 : x
  2. Step 2: Convert to fraction form
    470.57/648.59 = 359.81/x
  3. Step 3: Cross multiply
    470.57x = 648.59 × 359.81
  4. Step 4: Simplify right side
    470.57x = 233,365.92
  5. Step 5: Solve for x
    x = 233,365.92/470.57
  6. Step 6: Final answer
    x = 495.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.