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Finding the Fourth Proportional to 516.16, 774.29 and 284.95

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Solution

The fourth proportional to 516.16, 774.29 and 284.95 is: 427.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.16 : 774.29 = 284.95 : x
  2. Step 2: Convert to fraction form
    516.16/774.29 = 284.95/x
  3. Step 3: Cross multiply
    516.16x = 774.29 × 284.95
  4. Step 4: Simplify right side
    516.16x = 220,633.94
  5. Step 5: Solve for x
    x = 220,633.94/516.16
  6. Step 6: Final answer
    x = 427.45

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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.