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Finding the Fourth Proportional to 516.06, 711.93 and 359.01

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Solution

The fourth proportional to 516.06, 711.93 and 359.01 is: 495.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.06 : 711.93 = 359.01 : x
  2. Step 2: Convert to fraction form
    516.06/711.93 = 359.01/x
  3. Step 3: Cross multiply
    516.06x = 711.93 × 359.01
  4. Step 4: Simplify right side
    516.06x = 255,589.99
  5. Step 5: Solve for x
    x = 255,589.99/516.06
  6. Step 6: Final answer
    x = 495.27

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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.