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Finding the Fourth Proportional to 520.06, 717.42 and 354.28

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Solution

The fourth proportional to 520.06, 717.42 and 354.28 is: 488.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.06 : 717.42 = 354.28 : x
  2. Step 2: Convert to fraction form
    520.06/717.42 = 354.28/x
  3. Step 3: Cross multiply
    520.06x = 717.42 × 354.28
  4. Step 4: Simplify right side
    520.06x = 254,167.56
  5. Step 5: Solve for x
    x = 254,167.56/520.06
  6. Step 6: Final answer
    x = 488.73

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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.