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Finding the Fourth Proportional to 559.59, 771.98 and 349.63

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Solution

The fourth proportional to 559.59, 771.98 and 349.63 is: 482.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.59 : 771.98 = 349.63 : x
  2. Step 2: Convert to fraction form
    559.59/771.98 = 349.63/x
  3. Step 3: Cross multiply
    559.59x = 771.98 × 349.63
  4. Step 4: Simplify right side
    559.59x = 269,905.62
  5. Step 5: Solve for x
    x = 269,905.62/559.59
  6. Step 6: Final answer
    x = 482.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.