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Finding the Fourth Proportional to 515.58, 772.78 and 241.36

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Solution

The fourth proportional to 515.58, 772.78 and 241.36 is: 361.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.58 : 772.78 = 241.36 : x
  2. Step 2: Convert to fraction form
    515.58/772.78 = 241.36/x
  3. Step 3: Cross multiply
    515.58x = 772.78 × 241.36
  4. Step 4: Simplify right side
    515.58x = 186,518.18
  5. Step 5: Solve for x
    x = 186,518.18/515.58
  6. Step 6: Final answer
    x = 361.76

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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.