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Finding the Fourth Proportional to 476.25, 656.67 and 349.64

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Solution

The fourth proportional to 476.25, 656.67 and 349.64 is: 482.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.25 : 656.67 = 349.64 : x
  2. Step 2: Convert to fraction form
    476.25/656.67 = 349.64/x
  3. Step 3: Cross multiply
    476.25x = 656.67 × 349.64
  4. Step 4: Simplify right side
    476.25x = 229,593.07
  5. Step 5: Solve for x
    x = 229,593.07/476.25
  6. Step 6: Final answer
    x = 482.09

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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.