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Finding the Fourth Proportional to 476.28, 656.64 and 352.08

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Solution

The fourth proportional to 476.28, 656.64 and 352.08 is: 485.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.28 : 656.64 = 352.08 : x
  2. Step 2: Convert to fraction form
    476.28/656.64 = 352.08/x
  3. Step 3: Cross multiply
    476.28x = 656.64 × 352.08
  4. Step 4: Simplify right side
    476.28x = 231,189.81
  5. Step 5: Solve for x
    x = 231,189.81/476.28
  6. Step 6: Final answer
    x = 485.41

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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.