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Finding the Fourth Proportional to 350.94, 484.62 and 263.46

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Solution

The fourth proportional to 350.94, 484.62 and 263.46 is: 363.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.94 : 484.62 = 263.46 : x
  2. Step 2: Convert to fraction form
    350.94/484.62 = 263.46/x
  3. Step 3: Cross multiply
    350.94x = 484.62 × 263.46
  4. Step 4: Simplify right side
    350.94x = 127,677.99
  5. Step 5: Solve for x
    x = 127,677.99/350.94
  6. Step 6: Final answer
    x = 363.82

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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.