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Finding the Fourth Proportional to 311.58, 429.89 and 245.98

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Solution

The fourth proportional to 311.58, 429.89 and 245.98 is: 339.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.58 : 429.89 = 245.98 : x
  2. Step 2: Convert to fraction form
    311.58/429.89 = 245.98/x
  3. Step 3: Cross multiply
    311.58x = 429.89 × 245.98
  4. Step 4: Simplify right side
    311.58x = 105,744.34
  5. Step 5: Solve for x
    x = 105,744.34/311.58
  6. Step 6: Final answer
    x = 339.38

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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.