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Finding the Fourth Proportional to 513.60, 708.64 and 306.56

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Solution

The fourth proportional to 513.60, 708.64 and 306.56 is: 422.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.60 : 708.64 = 306.56 : x
  2. Step 2: Convert to fraction form
    513.60/708.64 = 306.56/x
  3. Step 3: Cross multiply
    513.60x = 708.64 × 306.56
  4. Step 4: Simplify right side
    513.60x = 217,240.68
  5. Step 5: Solve for x
    x = 217,240.68/513.60
  6. Step 6: Final answer
    x = 422.98

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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.