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Finding the Fourth Proportional to 519.67, 717.77 and 353.61

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Solution

The fourth proportional to 519.67, 717.77 and 353.61 is: 488.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.67 : 717.77 = 353.61 : x
  2. Step 2: Convert to fraction form
    519.67/717.77 = 353.61/x
  3. Step 3: Cross multiply
    519.67x = 717.77 × 353.61
  4. Step 4: Simplify right side
    519.67x = 253,810.65
  5. Step 5: Solve for x
    x = 253,810.65/519.67
  6. Step 6: Final answer
    x = 488.41

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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.