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Finding the Fourth Proportional to 516.54, 713.61 and 385.32

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Solution

The fourth proportional to 516.54, 713.61 and 385.32 is: 532.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.54 : 713.61 = 385.32 : x
  2. Step 2: Convert to fraction form
    516.54/713.61 = 385.32/x
  3. Step 3: Cross multiply
    516.54x = 713.61 × 385.32
  4. Step 4: Simplify right side
    516.54x = 274,968.21
  5. Step 5: Solve for x
    x = 274,968.21/516.54
  6. Step 6: Final answer
    x = 532.33

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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.