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Finding the Fourth Proportional to 513.72, 708.96 and 292.74

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Solution

The fourth proportional to 513.72, 708.96 and 292.74 is: 404.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.72 : 708.96 = 292.74 : x
  2. Step 2: Convert to fraction form
    513.72/708.96 = 292.74/x
  3. Step 3: Cross multiply
    513.72x = 708.96 × 292.74
  4. Step 4: Simplify right side
    513.72x = 207,540.95
  5. Step 5: Solve for x
    x = 207,540.95/513.72
  6. Step 6: Final answer
    x = 404.00

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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.