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Finding the Fourth Proportional to 520.22, 717.64 and 310.32

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Solution

The fourth proportional to 520.22, 717.64 and 310.32 is: 428.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.22 : 717.64 = 310.32 : x
  2. Step 2: Convert to fraction form
    520.22/717.64 = 310.32/x
  3. Step 3: Cross multiply
    520.22x = 717.64 × 310.32
  4. Step 4: Simplify right side
    520.22x = 222,701.12
  5. Step 5: Solve for x
    x = 222,701.12/520.22
  6. Step 6: Final answer
    x = 428.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.