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Finding the Fourth Proportional to 513.76, 708.95 and 289.71

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Solution

The fourth proportional to 513.76, 708.95 and 289.71 is: 399.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.76 : 708.95 = 289.71 : x
  2. Step 2: Convert to fraction form
    513.76/708.95 = 289.71/x
  3. Step 3: Cross multiply
    513.76x = 708.95 × 289.71
  4. Step 4: Simplify right side
    513.76x = 205,389.90
  5. Step 5: Solve for x
    x = 205,389.90/513.76
  6. Step 6: Final answer
    x = 399.78

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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.