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Finding the Fourth Proportional to 513.38, 708.49 and 292.33

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Solution

The fourth proportional to 513.38, 708.49 and 292.33 is: 403.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.38 : 708.49 = 292.33 : x
  2. Step 2: Convert to fraction form
    513.38/708.49 = 292.33/x
  3. Step 3: Cross multiply
    513.38x = 708.49 × 292.33
  4. Step 4: Simplify right side
    513.38x = 207,111.42
  5. Step 5: Solve for x
    x = 207,111.42/513.38
  6. Step 6: Final answer
    x = 403.43

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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.