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Finding the Fourth Proportional to 515.59, 772.84 and 241.45

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Solution

The fourth proportional to 515.59, 772.84 and 241.45 is: 361.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.59 : 772.84 = 241.45 : x
  2. Step 2: Convert to fraction form
    515.59/772.84 = 241.45/x
  3. Step 3: Cross multiply
    515.59x = 772.84 × 241.45
  4. Step 4: Simplify right side
    515.59x = 186,602.22
  5. Step 5: Solve for x
    x = 186,602.22/515.59
  6. Step 6: Final answer
    x = 361.92

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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.