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Finding the Fourth Proportional to 470.06, 648.32 and 359.26

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Solution

The fourth proportional to 470.06, 648.32 and 359.26 is: 495.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.06 : 648.32 = 359.26 : x
  2. Step 2: Convert to fraction form
    470.06/648.32 = 359.26/x
  3. Step 3: Cross multiply
    470.06x = 648.32 × 359.26
  4. Step 4: Simplify right side
    470.06x = 232,915.44
  5. Step 5: Solve for x
    x = 232,915.44/470.06
  6. Step 6: Final answer
    x = 495.50

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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.