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Finding the Fourth Proportional to 512.94, 770.76 and 269.64

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Solution

The fourth proportional to 512.94, 770.76 and 269.64 is: 405.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.94 : 770.76 = 269.64 : x
  2. Step 2: Convert to fraction form
    512.94/770.76 = 269.64/x
  3. Step 3: Cross multiply
    512.94x = 770.76 × 269.64
  4. Step 4: Simplify right side
    512.94x = 207,827.73
  5. Step 5: Solve for x
    x = 207,827.73/512.94
  6. Step 6: Final answer
    x = 405.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.