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Finding the Fourth Proportional to 600.24, 827.06 and 476.30

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Solution

The fourth proportional to 600.24, 827.06 and 476.30 is: 656.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.24 : 827.06 = 476.30 : x
  2. Step 2: Convert to fraction form
    600.24/827.06 = 476.30/x
  3. Step 3: Cross multiply
    600.24x = 827.06 × 476.30
  4. Step 4: Simplify right side
    600.24x = 393,928.68
  5. Step 5: Solve for x
    x = 393,928.68/600.24
  6. Step 6: Final answer
    x = 656.29

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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.