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Finding the Fourth Proportional to 451.52, 622.68 and 346.64

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Solution

The fourth proportional to 451.52, 622.68 and 346.64 is: 478.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.52 : 622.68 = 346.64 : x
  2. Step 2: Convert to fraction form
    451.52/622.68 = 346.64/x
  3. Step 3: Cross multiply
    451.52x = 622.68 × 346.64
  4. Step 4: Simplify right side
    451.52x = 215,845.80
  5. Step 5: Solve for x
    x = 215,845.80/451.52
  6. Step 6: Final answer
    x = 478.04

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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.