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Finding the Fourth Proportional to 516.94, 713.38 and 284.06

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Solution

The fourth proportional to 516.94, 713.38 and 284.06 is: 392.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.94 : 713.38 = 284.06 : x
  2. Step 2: Convert to fraction form
    516.94/713.38 = 284.06/x
  3. Step 3: Cross multiply
    516.94x = 713.38 × 284.06
  4. Step 4: Simplify right side
    516.94x = 202,641.30
  5. Step 5: Solve for x
    x = 202,641.30/516.94
  6. Step 6: Final answer
    x = 392.00

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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.