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Finding the Fourth Proportional to 516.87, 774.70 and 462.20

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Solution

The fourth proportional to 516.87, 774.70 and 462.20 is: 692.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.87 : 774.70 = 462.20 : x
  2. Step 2: Convert to fraction form
    516.87/774.70 = 462.20/x
  3. Step 3: Cross multiply
    516.87x = 774.70 × 462.20
  4. Step 4: Simplify right side
    516.87x = 358,061.31
  5. Step 5: Solve for x
    x = 358,061.31/516.87
  6. Step 6: Final answer
    x = 692.75

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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.