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Finding the Fourth Proportional to 559.46, 771.55 and 349.66

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Solution

The fourth proportional to 559.46, 771.55 and 349.66 is: 482.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.46 : 771.55 = 349.66 : x
  2. Step 2: Convert to fraction form
    559.46/771.55 = 349.66/x
  3. Step 3: Cross multiply
    559.46x = 771.55 × 349.66
  4. Step 4: Simplify right side
    559.46x = 269,780.17
  5. Step 5: Solve for x
    x = 269,780.17/559.46
  6. Step 6: Final answer
    x = 482.22

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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.