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Finding the Fourth Proportional to 515.53, 775.14 and 475.39

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Solution

The fourth proportional to 515.53, 775.14 and 475.39 is: 714.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.53 : 775.14 = 475.39 : x
  2. Step 2: Convert to fraction form
    515.53/775.14 = 475.39/x
  3. Step 3: Cross multiply
    515.53x = 775.14 × 475.39
  4. Step 4: Simplify right side
    515.53x = 368,493.80
  5. Step 5: Solve for x
    x = 368,493.80/515.53
  6. Step 6: Final answer
    x = 714.79

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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.