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Finding the Fourth Proportional to 349.86, 523.98 and 277.23

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Solution

The fourth proportional to 349.86, 523.98 and 277.23 is: 415.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.86 : 523.98 = 277.23 : x
  2. Step 2: Convert to fraction form
    349.86/523.98 = 277.23/x
  3. Step 3: Cross multiply
    349.86x = 523.98 × 277.23
  4. Step 4: Simplify right side
    349.86x = 145,262.98
  5. Step 5: Solve for x
    x = 145,262.98/349.86
  6. Step 6: Final answer
    x = 415.20

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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.