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Finding the Fourth Proportional to 513.94, 709.20 and 289.84

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Solution

The fourth proportional to 513.94, 709.20 and 289.84 is: 399.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.94 : 709.20 = 289.84 : x
  2. Step 2: Convert to fraction form
    513.94/709.20 = 289.84/x
  3. Step 3: Cross multiply
    513.94x = 709.20 × 289.84
  4. Step 4: Simplify right side
    513.94x = 205,554.53
  5. Step 5: Solve for x
    x = 205,554.53/513.94
  6. Step 6: Final answer
    x = 399.96

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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.