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Finding the Fourth Proportional to 513.57, 770.06 and 470.03

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Solution

The fourth proportional to 513.57, 770.06 and 470.03 is: 704.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.57 : 770.06 = 470.03 : x
  2. Step 2: Convert to fraction form
    513.57/770.06 = 470.03/x
  3. Step 3: Cross multiply
    513.57x = 770.06 × 470.03
  4. Step 4: Simplify right side
    513.57x = 361,951.30
  5. Step 5: Solve for x
    x = 361,951.30/513.57
  6. Step 6: Final answer
    x = 704.78

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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.