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Finding the Fourth Proportional to 476.12, 654.85 and 391.49

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Solution

The fourth proportional to 476.12, 654.85 and 391.49 is: 538.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.12 : 654.85 = 391.49 : x
  2. Step 2: Convert to fraction form
    476.12/654.85 = 391.49/x
  3. Step 3: Cross multiply
    476.12x = 654.85 × 391.49
  4. Step 4: Simplify right side
    476.12x = 256,367.23
  5. Step 5: Solve for x
    x = 256,367.23/476.12
  6. Step 6: Final answer
    x = 538.45

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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.