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Finding the Fourth Proportional to 513.07, 708.01 and 292.02

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Solution

The fourth proportional to 513.07, 708.01 and 292.02 is: 402.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.07 : 708.01 = 292.02 : x
  2. Step 2: Convert to fraction form
    513.07/708.01 = 292.02/x
  3. Step 3: Cross multiply
    513.07x = 708.01 × 292.02
  4. Step 4: Simplify right side
    513.07x = 206,753.08
  5. Step 5: Solve for x
    x = 206,753.08/513.07
  6. Step 6: Final answer
    x = 402.97

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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.