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Finding the Fourth Proportional to 471.64, 648.26 and 416.06

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Solution

The fourth proportional to 471.64, 648.26 and 416.06 is: 571.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.64 : 648.26 = 416.06 : x
  2. Step 2: Convert to fraction form
    471.64/648.26 = 416.06/x
  3. Step 3: Cross multiply
    471.64x = 648.26 × 416.06
  4. Step 4: Simplify right side
    471.64x = 269,715.06
  5. Step 5: Solve for x
    x = 269,715.06/471.64
  6. Step 6: Final answer
    x = 571.87

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.