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Finding the Fourth Proportional to 520.06, 717.60 and 287.20

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Solution

The fourth proportional to 520.06, 717.60 and 287.20 is: 396.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.06 : 717.60 = 287.20 : x
  2. Step 2: Convert to fraction form
    520.06/717.60 = 287.20/x
  3. Step 3: Cross multiply
    520.06x = 717.60 × 287.20
  4. Step 4: Simplify right side
    520.06x = 206,094.72
  5. Step 5: Solve for x
    x = 206,094.72/520.06
  6. Step 6: Final answer
    x = 396.29

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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.