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Finding the Fourth Proportional to 512.94, 707.82 and 288.84

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Solution

The fourth proportional to 512.94, 707.82 and 288.84 is: 398.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.94 : 707.82 = 288.84 : x
  2. Step 2: Convert to fraction form
    512.94/707.82 = 288.84/x
  3. Step 3: Cross multiply
    512.94x = 707.82 × 288.84
  4. Step 4: Simplify right side
    512.94x = 204,446.73
  5. Step 5: Solve for x
    x = 204,446.73/512.94
  6. Step 6: Final answer
    x = 398.58

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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.