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Finding the Fourth Proportional to 513.57, 708.60 and 314.34

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Solution

The fourth proportional to 513.57, 708.60 and 314.34 is: 433.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.57 : 708.60 = 314.34 : x
  2. Step 2: Convert to fraction form
    513.57/708.60 = 314.34/x
  3. Step 3: Cross multiply
    513.57x = 708.60 × 314.34
  4. Step 4: Simplify right side
    513.57x = 222,741.32
  5. Step 5: Solve for x
    x = 222,741.32/513.57
  6. Step 6: Final answer
    x = 433.71

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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.