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Finding the Fourth Proportional to 516.53, 712.83 and 330.00

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Solution

The fourth proportional to 516.53, 712.83 and 330.00 is: 455.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.53 : 712.83 = 330.00 : x
  2. Step 2: Convert to fraction form
    516.53/712.83 = 330.00/x
  3. Step 3: Cross multiply
    516.53x = 712.83 × 330.00
  4. Step 4: Simplify right side
    516.53x = 235,236.47
  5. Step 5: Solve for x
    x = 235,236.47/516.53
  6. Step 6: Final answer
    x = 455.42

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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.