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Finding the Fourth Proportional to 516.40, 712.64 and 295.34

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Solution

The fourth proportional to 516.40, 712.64 and 295.34 is: 407.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.40 : 712.64 = 295.34 : x
  2. Step 2: Convert to fraction form
    516.40/712.64 = 295.34/x
  3. Step 3: Cross multiply
    516.40x = 712.64 × 295.34
  4. Step 4: Simplify right side
    516.40x = 210,471.40
  5. Step 5: Solve for x
    x = 210,471.40/516.40
  6. Step 6: Final answer
    x = 407.58

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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.