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Finding the Fourth Proportional to 520.46, 717.91 and 310.50

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Solution

The fourth proportional to 520.46, 717.91 and 310.50 is: 428.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.46 : 717.91 = 310.50 : x
  2. Step 2: Convert to fraction form
    520.46/717.91 = 310.50/x
  3. Step 3: Cross multiply
    520.46x = 717.91 × 310.50
  4. Step 4: Simplify right side
    520.46x = 222,909.50
  5. Step 5: Solve for x
    x = 222,909.50/520.46
  6. Step 6: Final answer
    x = 428.30

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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.