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Finding the Fourth Proportional to 516.42, 712.64 and 295.43

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Solution

The fourth proportional to 516.42, 712.64 and 295.43 is: 407.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.42 : 712.64 = 295.43 : x
  2. Step 2: Convert to fraction form
    516.42/712.64 = 295.43/x
  3. Step 3: Cross multiply
    516.42x = 712.64 × 295.43
  4. Step 4: Simplify right side
    516.42x = 210,530.19
  5. Step 5: Solve for x
    x = 210,530.19/516.42
  6. Step 6: Final answer
    x = 407.67

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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.