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Finding the Fourth Proportional to 357.20, 516.50 and 357.20

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Solution

The fourth proportional to 357.20, 516.50 and 357.20 is: 516.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.20 : 516.50 = 357.20 : x
  2. Step 2: Convert to fraction form
    357.20/516.50 = 357.20/x
  3. Step 3: Cross multiply
    357.20x = 516.50 × 357.20
  4. Step 4: Simplify right side
    357.20x = 184,493.80
  5. Step 5: Solve for x
    x = 184,493.80/357.20
  6. Step 6: Final answer
    x = 516.50

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.