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Finding the Fourth Proportional to 559.88, 839.69 and 343.34

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Solution

The fourth proportional to 559.88, 839.69 and 343.34 is: 514.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.88 : 839.69 = 343.34 : x
  2. Step 2: Convert to fraction form
    559.88/839.69 = 343.34/x
  3. Step 3: Cross multiply
    559.88x = 839.69 × 343.34
  4. Step 4: Simplify right side
    559.88x = 288,297.45
  5. Step 5: Solve for x
    x = 288,297.45/559.88
  6. Step 6: Final answer
    x = 514.93

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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.