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Finding the Fourth Proportional to 517.00, 774.59 and 343.25

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Solution

The fourth proportional to 517.00, 774.59 and 343.25 is: 514.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.00 : 774.59 = 343.25 : x
  2. Step 2: Convert to fraction form
    517.00/774.59 = 343.25/x
  3. Step 3: Cross multiply
    517.00x = 774.59 × 343.25
  4. Step 4: Simplify right side
    517.00x = 265,878.24
  5. Step 5: Solve for x
    x = 265,878.24/517.00
  6. Step 6: Final answer
    x = 514.27

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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.