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Finding the Fourth Proportional to 520.36, 717.84 and 310.41

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Solution

The fourth proportional to 520.36, 717.84 and 310.41 is: 428.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.36 : 717.84 = 310.41 : x
  2. Step 2: Convert to fraction form
    520.36/717.84 = 310.41/x
  3. Step 3: Cross multiply
    520.36x = 717.84 × 310.41
  4. Step 4: Simplify right side
    520.36x = 222,824.71
  5. Step 5: Solve for x
    x = 222,824.71/520.36
  6. Step 6: Final answer
    x = 428.21

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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.