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Finding the Fourth Proportional to 520.02, 717.42 and 310.11

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Solution

The fourth proportional to 520.02, 717.42 and 310.11 is: 427.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.02 : 717.42 = 310.11 : x
  2. Step 2: Convert to fraction form
    520.02/717.42 = 310.11/x
  3. Step 3: Cross multiply
    520.02x = 717.42 × 310.11
  4. Step 4: Simplify right side
    520.02x = 222,479.12
  5. Step 5: Solve for x
    x = 222,479.12/520.02
  6. Step 6: Final answer
    x = 427.83

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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.