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Finding the Fourth Proportional to 513.14, 708.08 and 289.04

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Solution

The fourth proportional to 513.14, 708.08 and 289.04 is: 398.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.14 : 708.08 = 289.04 : x
  2. Step 2: Convert to fraction form
    513.14/708.08 = 289.04/x
  3. Step 3: Cross multiply
    513.14x = 708.08 × 289.04
  4. Step 4: Simplify right side
    513.14x = 204,658.46
  5. Step 5: Solve for x
    x = 204,658.46/513.14
  6. Step 6: Final answer
    x = 398.84

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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.