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Finding the Fourth Proportional to 513.32, 708.39 and 292.27

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Solution

The fourth proportional to 513.32, 708.39 and 292.27 is: 403.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.32 : 708.39 = 292.27 : x
  2. Step 2: Convert to fraction form
    513.32/708.39 = 292.27/x
  3. Step 3: Cross multiply
    513.32x = 708.39 × 292.27
  4. Step 4: Simplify right side
    513.32x = 207,037.60
  5. Step 5: Solve for x
    x = 207,037.60/513.32
  6. Step 6: Final answer
    x = 403.33

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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.