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Finding the Fourth Proportional to 522.12, 719.54 and 451.96

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Solution

The fourth proportional to 522.12, 719.54 and 451.96 is: 622.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.12 : 719.54 = 451.96 : x
  2. Step 2: Convert to fraction form
    522.12/719.54 = 451.96/x
  3. Step 3: Cross multiply
    522.12x = 719.54 × 451.96
  4. Step 4: Simplify right side
    522.12x = 325,203.30
  5. Step 5: Solve for x
    x = 325,203.30/522.12
  6. Step 6: Final answer
    x = 622.85

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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.