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Finding the Fourth Proportional to 514.77, 768.09 and 462.88

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Solution

The fourth proportional to 514.77, 768.09 and 462.88 is: 690.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.77 : 768.09 = 462.88 : x
  2. Step 2: Convert to fraction form
    514.77/768.09 = 462.88/x
  3. Step 3: Cross multiply
    514.77x = 768.09 × 462.88
  4. Step 4: Simplify right side
    514.77x = 355,536.20
  5. Step 5: Solve for x
    x = 355,536.20/514.77
  6. Step 6: Final answer
    x = 690.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.