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Finding the Fourth Proportional to 513.39, 708.24 and 324.25

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Solution

The fourth proportional to 513.39, 708.24 and 324.25 is: 447.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.39 : 708.24 = 324.25 : x
  2. Step 2: Convert to fraction form
    513.39/708.24 = 324.25/x
  3. Step 3: Cross multiply
    513.39x = 708.24 × 324.25
  4. Step 4: Simplify right side
    513.39x = 229,650.25
  5. Step 5: Solve for x
    x = 229,650.25/513.39
  6. Step 6: Final answer
    x = 447.32

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Double scale
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Similar ratio
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1.5x scale

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.