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Finding the Fourth Proportional to 520.44, 718.08 and 323.88

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Solution

The fourth proportional to 520.44, 718.08 and 323.88 is: 446.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.44 : 718.08 = 323.88 : x
  2. Step 2: Convert to fraction form
    520.44/718.08 = 323.88/x
  3. Step 3: Cross multiply
    520.44x = 718.08 × 323.88
  4. Step 4: Simplify right side
    520.44x = 232,571.75
  5. Step 5: Solve for x
    x = 232,571.75/520.44
  6. Step 6: Final answer
    x = 446.88

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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.