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Finding the Fourth Proportional to 512.54, 769.04 and 317.69

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Solution

The fourth proportional to 512.54, 769.04 and 317.69 is: 476.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.54 : 769.04 = 317.69 : x
  2. Step 2: Convert to fraction form
    512.54/769.04 = 317.69/x
  3. Step 3: Cross multiply
    512.54x = 769.04 × 317.69
  4. Step 4: Simplify right side
    512.54x = 244,316.75
  5. Step 5: Solve for x
    x = 244,316.75/512.54
  6. Step 6: Final answer
    x = 476.67

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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.