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Finding the Fourth Proportional to 513.84, 769.05 and 468.29

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Solution

The fourth proportional to 513.84, 769.05 and 468.29 is: 700.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.84 : 769.05 = 468.29 : x
  2. Step 2: Convert to fraction form
    513.84/769.05 = 468.29/x
  3. Step 3: Cross multiply
    513.84x = 769.05 × 468.29
  4. Step 4: Simplify right side
    513.84x = 360,134.58
  5. Step 5: Solve for x
    x = 360,134.58/513.84
  6. Step 6: Final answer
    x = 700.87

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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.