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Finding the Fourth Proportional to 513.22, 708.24 and 314

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Solution

The fourth proportional to 513.22, 708.24 and 314 is: 433.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.22 : 708.24 = 314 : x
  2. Step 2: Convert to fraction form
    513.22/708.24 = 314/x
  3. Step 3: Cross multiply
    513.22x = 708.24 × 314
  4. Step 4: Simplify right side
    513.22x = 222,387.36
  5. Step 5: Solve for x
    x = 222,387.36/513.22
  6. Step 6: Final answer
    x = 433.32

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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.