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Finding the Fourth Proportional to 516.69, 713.03 and 342.36

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Solution

The fourth proportional to 516.69, 713.03 and 342.36 is: 472.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.69 : 713.03 = 342.36 : x
  2. Step 2: Convert to fraction form
    516.69/713.03 = 342.36/x
  3. Step 3: Cross multiply
    516.69x = 713.03 × 342.36
  4. Step 4: Simplify right side
    516.69x = 244,111.24
  5. Step 5: Solve for x
    x = 244,111.24/516.69
  6. Step 6: Final answer
    x = 472.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.