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Finding the Fourth Proportional to 515.74, 773.94 and 474.02

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Solution

The fourth proportional to 515.74, 773.94 and 474.02 is: 711.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.74 : 773.94 = 474.02 : x
  2. Step 2: Convert to fraction form
    515.74/773.94 = 474.02/x
  3. Step 3: Cross multiply
    515.74x = 773.94 × 474.02
  4. Step 4: Simplify right side
    515.74x = 366,863.04
  5. Step 5: Solve for x
    x = 366,863.04/515.74
  6. Step 6: Final answer
    x = 711.34

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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.