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Finding the Fourth Proportional to 515.72, 773.70 and 169.07

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Solution

The fourth proportional to 515.72, 773.70 and 169.07 is: 253.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.72 : 773.70 = 169.07 : x
  2. Step 2: Convert to fraction form
    515.72/773.70 = 169.07/x
  3. Step 3: Cross multiply
    515.72x = 773.70 × 169.07
  4. Step 4: Simplify right side
    515.72x = 130,809.46
  5. Step 5: Solve for x
    x = 130,809.46/515.72
  6. Step 6: Final answer
    x = 253.64

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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.