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Finding the Fourth Proportional to 515.37, 772.73 and 241.55

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Solution

The fourth proportional to 515.37, 772.73 and 241.55 is: 362.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.37 : 772.73 = 241.55 : x
  2. Step 2: Convert to fraction form
    515.37/772.73 = 241.55/x
  3. Step 3: Cross multiply
    515.37x = 772.73 × 241.55
  4. Step 4: Simplify right side
    515.37x = 186,652.93
  5. Step 5: Solve for x
    x = 186,652.93/515.37
  6. Step 6: Final answer
    x = 362.17

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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.