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Finding the Fourth Proportional to 516.02, 712.07 and 319.57

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Solution

The fourth proportional to 516.02, 712.07 and 319.57 is: 440.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.02 : 712.07 = 319.57 : x
  2. Step 2: Convert to fraction form
    516.02/712.07 = 319.57/x
  3. Step 3: Cross multiply
    516.02x = 712.07 × 319.57
  4. Step 4: Simplify right side
    516.02x = 227,552.65
  5. Step 5: Solve for x
    x = 227,552.65/516.02
  6. Step 6: Final answer
    x = 440.98

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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.