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Finding the Fourth Proportional to 516.66, 712.95 and 385.50

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Solution

The fourth proportional to 516.66, 712.95 and 385.50 is: 531.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.66 : 712.95 = 385.50 : x
  2. Step 2: Convert to fraction form
    516.66/712.95 = 385.50/x
  3. Step 3: Cross multiply
    516.66x = 712.95 × 385.50
  4. Step 4: Simplify right side
    516.66x = 274,842.23
  5. Step 5: Solve for x
    x = 274,842.23/516.66
  6. Step 6: Final answer
    x = 531.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.