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Finding the Fourth Proportional to 513.77, 708.94 and 292.65

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Solution

The fourth proportional to 513.77, 708.94 and 292.65 is: 403.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.77 : 708.94 = 292.65 : x
  2. Step 2: Convert to fraction form
    513.77/708.94 = 292.65/x
  3. Step 3: Cross multiply
    513.77x = 708.94 × 292.65
  4. Step 4: Simplify right side
    513.77x = 207,470.56
  5. Step 5: Solve for x
    x = 207,470.56/513.77
  6. Step 6: Final answer
    x = 403.82

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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.