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Finding the Fourth Proportional to 516.84, 712.72 and 330.12

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Solution

The fourth proportional to 516.84, 712.72 and 330.12 is: 455.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.84 : 712.72 = 330.12 : x
  2. Step 2: Convert to fraction form
    516.84/712.72 = 330.12/x
  3. Step 3: Cross multiply
    516.84x = 712.72 × 330.12
  4. Step 4: Simplify right side
    516.84x = 235,283.13
  5. Step 5: Solve for x
    x = 235,283.13/516.84
  6. Step 6: Final answer
    x = 455.23

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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.