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Finding the Fourth Proportional to 520.30, 717.77 and 310.35

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Solution

The fourth proportional to 520.30, 717.77 and 310.35 is: 428.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.30 : 717.77 = 310.35 : x
  2. Step 2: Convert to fraction form
    520.30/717.77 = 310.35/x
  3. Step 3: Cross multiply
    520.30x = 717.77 × 310.35
  4. Step 4: Simplify right side
    520.30x = 222,758.37
  5. Step 5: Solve for x
    x = 222,758.37/520.30
  6. Step 6: Final answer
    x = 428.14

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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.