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Finding the Fourth Proportional to 451.68, 622.24 and 429.72

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Solution

The fourth proportional to 451.68, 622.24 and 429.72 is: 591.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.68 : 622.24 = 429.72 : x
  2. Step 2: Convert to fraction form
    451.68/622.24 = 429.72/x
  3. Step 3: Cross multiply
    451.68x = 622.24 × 429.72
  4. Step 4: Simplify right side
    451.68x = 267,388.97
  5. Step 5: Solve for x
    x = 267,388.97/451.68
  6. Step 6: Final answer
    x = 591.99

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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.