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Finding the Fourth Proportional to 513.74, 708.96 and 292.69

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Solution

The fourth proportional to 513.74, 708.96 and 292.69 is: 403.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.74 : 708.96 = 292.69 : x
  2. Step 2: Convert to fraction form
    513.74/708.96 = 292.69/x
  3. Step 3: Cross multiply
    513.74x = 708.96 × 292.69
  4. Step 4: Simplify right side
    513.74x = 207,501.96
  5. Step 5: Solve for x
    x = 207,501.96/513.74
  6. Step 6: Final answer
    x = 403.90

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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.