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Finding the Fourth Proportional to 516.76, 711.88 and 441.84

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Solution

The fourth proportional to 516.76, 711.88 and 441.84 is: 608.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.76 : 711.88 = 441.84 : x
  2. Step 2: Convert to fraction form
    516.76/711.88 = 441.84/x
  3. Step 3: Cross multiply
    516.76x = 711.88 × 441.84
  4. Step 4: Simplify right side
    516.76x = 314,537.06
  5. Step 5: Solve for x
    x = 314,537.06/516.76
  6. Step 6: Final answer
    x = 608.67

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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.