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Finding the Fourth Proportional to 514.29, 769.87 and 485.47

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Solution

The fourth proportional to 514.29, 769.87 and 485.47 is: 726.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.29 : 769.87 = 485.47 : x
  2. Step 2: Convert to fraction form
    514.29/769.87 = 485.47/x
  3. Step 3: Cross multiply
    514.29x = 769.87 × 485.47
  4. Step 4: Simplify right side
    514.29x = 373,748.79
  5. Step 5: Solve for x
    x = 373,748.79/514.29
  6. Step 6: Final answer
    x = 726.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.