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Finding the Fourth Proportional to 311.49, 429.71 and 228.47

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Solution

The fourth proportional to 311.49, 429.71 and 228.47 is: 315.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.49 : 429.71 = 228.47 : x
  2. Step 2: Convert to fraction form
    311.49/429.71 = 228.47/x
  3. Step 3: Cross multiply
    311.49x = 429.71 × 228.47
  4. Step 4: Simplify right side
    311.49x = 98,172.55
  5. Step 5: Solve for x
    x = 98,172.55/311.49
  6. Step 6: Final answer
    x = 315.17

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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.