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Finding the Fourth Proportional to 512.65, 769.08 and 293.38

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Solution

The fourth proportional to 512.65, 769.08 and 293.38 is: 440.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.65 : 769.08 = 293.38 : x
  2. Step 2: Convert to fraction form
    512.65/769.08 = 293.38/x
  3. Step 3: Cross multiply
    512.65x = 769.08 × 293.38
  4. Step 4: Simplify right side
    512.65x = 225,635.01
  5. Step 5: Solve for x
    x = 225,635.01/512.65
  6. Step 6: Final answer
    x = 440.13

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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.