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Finding the Fourth Proportional to 515.96, 773.10 and 412.70

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Solution

The fourth proportional to 515.96, 773.10 and 412.70 is: 618.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.96 : 773.10 = 412.70 : x
  2. Step 2: Convert to fraction form
    515.96/773.10 = 412.70/x
  3. Step 3: Cross multiply
    515.96x = 773.10 × 412.70
  4. Step 4: Simplify right side
    515.96x = 319,058.37
  5. Step 5: Solve for x
    x = 319,058.37/515.96
  6. Step 6: Final answer
    x = 618.38

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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.