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Finding the Fourth Proportional to 319.98, 480.15 and 228.87

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Solution

The fourth proportional to 319.98, 480.15 and 228.87 is: 343.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.98 : 480.15 = 228.87 : x
  2. Step 2: Convert to fraction form
    319.98/480.15 = 228.87/x
  3. Step 3: Cross multiply
    319.98x = 480.15 × 228.87
  4. Step 4: Simplify right side
    319.98x = 109,891.93
  5. Step 5: Solve for x
    x = 109,891.93/319.98
  6. Step 6: Final answer
    x = 343.43

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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.